Finding the Third Proportional to 31,722 and 41,721
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Solution
The third proportional to 31,722 and 41,721 is: 54,871.76
Step by Step Solution
- Step 1: Write the proportion equation
31,722 : 41,721 = 41,721 : x - Step 2: Convert to fraction form
31,722/41,721 = 41,721/x - Step 3: Cross multiply
31,722x = 41,721 × 41,721 - Step 4: Simplify right side
31,722x = 1,740,641,841 - Step 5: Solve for x
x = 1,740,641,841/31,722 - Step 6: Final answer
x = 54,871.76
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Why These Related Problems?
These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.