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Solve for x 3:21=x:16

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Given: [tex]3:21 = x:16[/tex]

Find:  The value of the unknown variable, x

Solution:  The first step that we should take is to convert the ratios into a fraction so we can then easily cross multiply, isolate the unknown variable, and simplify the expression.

Convert to fractions

- [tex]3:21=x:16[/tex]

- [tex]\frac{3}{21}=\frac{x}{16}[/tex]

Cross multiply

- [tex]3(16) = 21(x)[/tex]

- [tex]48 = 21x[/tex]

Divide both sides by 21

- [tex]\frac{48}{21} = \frac{21x}{21}[/tex]

- [tex]\frac{48}{21} = x[/tex]

Simplify the expression

- [tex]\frac{48/3}{21/3} = x[/tex]

- [tex]\frac{16}{7} = x[/tex]

Therefore, the final answer would be that the unknown would be equal to 16/7 in the ratio expression that was provided in the problem statement.
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16/7 =x

Step-by-step explanation:

We can use ratios to solve

3 x

----- = ---------

21 16

Using cross products

3*16 = x *21

48 = 21x

Divide by 21

48/21 = x

16/7 =x
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