Final answer:
To solve for q in the given proportion (5)/(2)=(q)/(18), cross-multiply the terms and solve for q. The value of q is 45.
Step-by-step explanation:
To solve for q in the given proportion, you can cross-multiply and then solve for q. First, cross-multiply the numerator of the first fraction with the denominator of the second fraction and vice versa. This gives you 5 * 18 = 2 * q.
Next, simplify the equation: 90 = 2q. Divide both sides of the equation by 2 to isolate q, giving you q = 45.
Therefore, the value of q in the given proportion is 45.