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Finding the Third Proportional to 40,610 and 60,747

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Solution

The third proportional to 40,610 and 60,747 is: 90,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,610 : 60,747 = 60,747 : x
  2. Step 2: Convert to fraction form
    40,610/60,747 = 60,747/x
  3. Step 3: Cross multiply
    40,610x = 60,747 × 60,747
  4. Step 4: Simplify right side
    40,610x = 3,690,198,009
  5. Step 5: Solve for x
    x = 3,690,198,009/40,610
  6. Step 6: Final answer
    x = 90,869.20

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