Finding the Third Proportional to 31,570 and 73,092
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Solution
The third proportional to 31,570 and 73,092 is: 169,225.23
Step by Step Solution
- Step 1: Write the proportion equation
31,570 : 73,092 = 73,092 : x - Step 2: Convert to fraction form
31,570/73,092 = 73,092/x - Step 3: Cross multiply
31,570x = 73,092 × 73,092 - Step 4: Simplify right side
31,570x = 5,342,440,464 - Step 5: Solve for x
x = 5,342,440,464/31,570 - Step 6: Final answer
x = 169,225.23
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Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.