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Finding the Third Proportional to 40,591 and 60,721

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Solution

The third proportional to 40,591 and 60,721 is: 90,833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,591 : 60,721 = 60,721 : x
  2. Step 2: Convert to fraction form
    40,591/60,721 = 60,721/x
  3. Step 3: Cross multiply
    40,591x = 60,721 × 60,721
  4. Step 4: Simplify right side
    40,591x = 3,687,039,841
  5. Step 5: Solve for x
    x = 3,687,039,841/40,591
  6. Step 6: Final answer
    x = 90,833.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.