Final answer:
The proportion of the ratio 2/3 = x/18 can be solved by cross-multiplying to find that x equals 12, making the two ratios equivalent as 2/3 = 12/18.
Step-by-step explanation:
To write the ratio 2/3 = x/18 as a proportion, we simply set the two fractions equal to each other, which they already are in this case. This gives us the proportion equation directly: 2/3 = x/18. To solve for x, we can cross-multiply, giving us 2 × 18 = 3 × x. Simplifying this equation, we get 36 = 3x.
Finally, to find the value of x, we divide both sides of the equation by 3, resulting in x = 12. Therefore, the proportion 2/3 = 12/18 is an equivalent statement.