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Find the Third Proportional to 5.25, 7

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Question

Find the third proportional to 5.25, 7

Sum
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Solution

Let the required third proportional be x

∴ 5.25, 7, x are in continued proportion

⇒ 5.25 : 7 = 7 : x

⇒ 5x = 7 × 7

⇒ x = `(7xx7)/5.25`

⇒ x = `49/5.25=28/3`

⇒ x = `9 1/3`

∴ Required proportional = `9 1/3`

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