Finding the Third Proportional to 10,432 and 22,504
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Solution
The third proportional to 10,432 and 22,504 is: 48,545.82
Step by Step Solution
- Step 1: Write the proportion equation
10,432 : 22,504 = 22,504 : x - Step 2: Convert to fraction form
10,432/22,504 = 22,504/x - Step 3: Cross multiply
10,432x = 22,504 × 22,504 - Step 4: Simplify right side
10,432x = 506,430,016 - Step 5: Solve for x
x = 506,430,016/10,432 - Step 6: Final answer
x = 48,545.82
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.