Finding the Third Proportional to 12,016 and 15,632
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Solution
The third proportional to 12,016 and 15,632 is: 20,336.17
Step by Step Solution
- Step 1: Write the proportion equation
12,016 : 15,632 = 15,632 : x - Step 2: Convert to fraction form
12,016/15,632 = 15,632/x - Step 3: Cross multiply
12,016x = 15,632 × 15,632 - Step 4: Simplify right side
12,016x = 244,359,424 - Step 5: Solve for x
x = 244,359,424/12,016 - Step 6: Final answer
x = 20,336.17
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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.