If 8 : x :: 16 : 35, find the value of x.

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Solution

Product of the extremes = 8 $\times$ 35 = 280
Product of the means = 16 $\times$ x = 16x

Since 8 : x :: 16 : 35, we have:
Product of the extremes = Product of the means
⇒ 280 = 16x
⇒ x = 17.5

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