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Finding the Third Proportional to 65,749.50 and 72,432

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Solution

The third proportional to 65,749.50 and 72,432 is: 79,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,749.50 : 72,432 = 72,432 : x
  2. Step 2: Convert to fraction form
    65,749.50/72,432 = 72,432/x
  3. Step 3: Cross multiply
    65,749.50x = 72,432 × 72,432
  4. Step 4: Simplify right side
    65,749.50x = 5,246,394,624
  5. Step 5: Solve for x
    x = 5,246,394,624/65,749.50
  6. Step 6: Final answer
    x = 79,793.68

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.