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Finding the Third Proportional to 37,732.50 and 52,744.50

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Solution

The third proportional to 37,732.50 and 52,744.50 is: 73,729.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,732.50 : 52,744.50 = 52,744.50 : x
  2. Step 2: Convert to fraction form
    37,732.50/52,744.50 = 52,744.50/x
  3. Step 3: Cross multiply
    37,732.50x = 52,744.50 × 52,744.50
  4. Step 4: Simplify right side
    37,732.50x = 2,781,982,280.25
  5. Step 5: Solve for x
    x = 2,781,982,280.25/37,732.50
  6. Step 6: Final answer
    x = 73,729.07

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.