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Given:
Two ratios 2:x and 12:18 are equivalent.
To find:
The value of x.
Solution:
We have,
[tex]2:x\equiv 12:18[/tex]
It means,
[tex]\dfrac{2}{x}=\dfrac{12}{18}[/tex]
[tex]2\times 18=12\times x[/tex]
[tex]36=12x[/tex]
Divide both sides by 12.
[tex]\dfrac{36}{12}=\dfrac{12x}{12}[/tex]
[tex]3=x[/tex]
Therefore, the value of x is 3.