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If 2x, 9 and 18 are in continued proportion, the value of x is ______. -

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Question

If 2x, 9 and 18 are in continued proportion, the value of x is ______.

Options

  • `2 1/4`

  • `4/9`

  • 1

  • 9

MCQ
Fill in the Blanks

Solution

If 2x, 9 and 18 are in continued proportion, the value of x is `underlinebb(2 1/4)`.

Explanation:

Since 2x, 9 and 18 are in continued proportion

∴ `(2x)/9 = 9/18 = 1/2`

`\implies x = 1/2 xx 9/2`

= `9/4`

= `2 1/4`

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