MHB Percentage between two numbers

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To find a percentage between two numbers, the formula \(x_p = x_1 + p(x_2 - x_1)\) can be used, where \(p\) represents the desired percentage in decimal form. For example, to find 75% between 124.464 and 124.444, substituting the values gives the result of 124.459. This method allows for calculating any percentage, including 40% or 60%, by adjusting the value of \(p\). The discussion highlights the simplicity and effectiveness of this formula for determining specific points between two numbers. Overall, this approach provides a clear solution for calculating percentages between two lines.
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Hey, So I need to know what number is 75% between 2 lines? Line 1 = 124.464 and Line 2 = 124.444. Currently I use
Line 1 + Line 2 / 2 = 50% or (124.454) Then (124.454 + Line 1) / 2 = 75% or (124.459). Is there a easier or better way to get these results, cause this formula can't get percents like 60% or 40%.
PS: Wasn't sure what topic to put this under, first time here.
Thank you for your time and help!
 
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Suppose you have two real numbers \(x_1\) and \(x_2\) with \(x_1<x_2\). And we want to find a third number \(x_p\) that is a part \(p\) (where \(0\le p\le1\)) of the distance from \(x_1\) to \(x_2\). Then I would use:

$$x_p=x_1+p(x_2-x_1)$$

Does that make sense?
 
Yes! Thats exactly what I needed! Thank you so much! I’ve been out of school for too many years now. Haha.
 
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