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Question

Find the third proportional to 8 and 12.

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Solution

Suppose that the third proportional to 8 and 12 is x.
Then, 8 : 12 :: 12 : x

⇒ 8x = 144 (Product of extremes = Product of means)
⇒ x = 18

Hence, the third proportional is 18 .

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