Can Someone Explain Proportional Reasoning to Me?

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SUMMARY

The discussion centers on understanding proportional reasoning through the example of square roots. Specifically, when L=2, the square root of L (√L) equals √2. Participants emphasize the importance of not overcomplicating the problem and suggest comparing values by substituting L with 2L to explore mathematical relationships. The conversation highlights the need for clear expression of these relationships in words for better comprehension.

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  • Basic understanding of square roots and their properties
  • Familiarity with algebraic expressions and substitutions
  • Knowledge of proportional reasoning concepts
  • Ability to articulate mathematical relationships in written form
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  • Explore the concept of square roots in greater depth
  • Study proportional reasoning techniques and applications
  • Learn how to express mathematical relationships clearly
  • Practice solving algebraic equations involving substitutions
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Students, educators, and anyone looking to enhance their understanding of proportional reasoning and mathematical relationships.

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Homework Statement
The question is asking what would happen to T if I double L. The answer has to be in words (i.e: “T is cut in half”)
Relevant Equations
T = 2𝝅√L/g
I already tried plugging in values I saw from example problems and tried to find the correlation between the two solutions I would get, but thus far haven’t been able to find any. Maybe I’m overcomplicating this or looking at this the wrong way?
 
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If L=1, what is √L ?
 
Replace L with 2L and compare the result to your original equation. Then find a way to express the mathematical relationship between those values in words.

Don’t overthink it.
 
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berkeman said:
If L=1, what is √L ?
it should still be 1
 
Oh sorry, I apologize. It's been a long day. Let me rephrase...

If L=2, what is √L ?

And the suggestion by @Emmo Amaranth is equivalent to my corrected question, BTW. :smile:
 
berkeman said:
Oh sorry, I apologize. It's been a long day. Let me rephrase...

If L=2, what is √L ?

And the suggestion by @Emmo Amaranth is equivalent to my corrected question, BTW. :smile:
no worries, that’s understandable! i think i’m catching your drift. thank you for your quick response and your help :smile:
 
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Emmo Amaranth said:
Replace L with 2L and compare the result to your original equation. Then find a way to express the mathematical relationship between those values in words.

Don’t overthink it.
thank you!
 
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You're quite welcome! Glad to help.
 
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