Question

The third term of the proportion , where first, second and fourth terms are 18, 12 and 28 respectively​

Answer 1

Question:-

The third term of the proportion , where first, second and fourth terms are 18, 12 and 28 respectively

Answer:-

• The value of x is 42.

To find:-

• Third proportion

Solution:-

• Let the third proportion be x

$\large{ \tt : \implies \: \: \: \: \: 18 : 12 : : x : 28}$

We have to find the value of x

$\large{ \tt : \implies \: \: \: \: \: \frac{18}{12} = \frac{x}{28} }$

After cross multiplication,

$\large{ \tt : \implies \: \: \: \: \: 12 \times x = 18 \times 28}$

$\large{ \tt : \implies \: \: \: \: \: x = \frac{18 \times 28}{12} }$

$\large{ \tt : \implies \: \: \: \: \: x = 42}$

Hence,

The value of x is 42.

Answer 2

Given

• The first term of the proportion is 18.
• The second term of the proportion is 12.
• The fourth term of the proportion is 28.

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To find

• The third term of the proportion.

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Solution

• Let the third term of the proportion be x.

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Therefore,

⠀⠀⠀⠀⠀⠀⠀❍ Required Proportion

$\tt\longrightarrow{18 : 12 : : x : 28}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {\dfrac{18}{12} = \dfrac{x}{28}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {504 = 12x}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {x = \dfrac{504}{12}}$

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$\bf:\implies\: \: \: \: \: \: \: \: {x = 42}$

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Hence,

• The third term of the proportion is 42.

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