Question

What should be added to each of the numbers 10, 14 and 19 so that the resulting numbers are in continued proportion​

Answer 1

Answer:

6

Step-by-step explanation:

Let x be added to the the numbers.

Thus, 10 + x / 14 + x = 14 + x / 19 + x

⇒ (10 + x)(19 + x) = (14 + x)²

⇒ 190 + 29x + x² = 196 + 28x + x²

⇒ x² - x² + 29x - 28x = 196 - 190

⇒ x = 6

Hence, 6 should be added so that the resulting numbers are continued in proportion.

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