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Finding the Third Proportional to 27,737 and 59,847

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Solution

The third proportional to 27,737 and 59,847 is: 129,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,737 : 59,847 = 59,847 : x
  2. Step 2: Convert to fraction form
    27,737/59,847 = 59,847/x
  3. Step 3: Cross multiply
    27,737x = 59,847 × 59,847
  4. Step 4: Simplify right side
    27,737x = 3,581,663,409
  5. Step 5: Solve for x
    x = 3,581,663,409/27,737
  6. Step 6: Final answer
    x = 129,129.44

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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.