Find the third proportion of 8,24, ? 60
Question
Find the third proportion of 8,24, ? 60
Solution
To find the third proportion, we use the formula for the proportion of four quantities, which is: a : b = c : d. Here, a and b are the first two quantities, c is the third quantity, and d is the fourth quantity we want to find.
Given a = 8, b = 24, and c = 60, we can substitute these values into the formula:
8 : 24 = 60 : d
To solve for d, we cross-multiply:
8 * d = 24 * 60
Solving for d gives:
d = (24 * 60) / 8
d = 180
So, the third proportion of 8, 24, and 60 is 180.
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