Finding the Third Proportional to 11,552 and 18,496
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Solution
The third proportional to 11,552 and 18,496 is: 29,614.09
Step by Step Solution
- Step 1: Write the proportion equation
11,552 : 18,496 = 18,496 : x - Step 2: Convert to fraction form
11,552/18,496 = 18,496/x - Step 3: Cross multiply
11,552x = 18,496 × 18,496 - Step 4: Simplify right side
11,552x = 342,102,016 - Step 5: Solve for x
x = 342,102,016/11,552 - Step 6: Final answer
x = 29,614.09
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.