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Finding the Third Proportional to 65,731.50 and 72,414

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Solution

The third proportional to 65,731.50 and 72,414 is: 79,775.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,731.50 : 72,414 = 72,414 : x
  2. Step 2: Convert to fraction form
    65,731.50/72,414 = 72,414/x
  3. Step 3: Cross multiply
    65,731.50x = 72,414 × 72,414
  4. Step 4: Simplify right side
    65,731.50x = 5,243,787,396
  5. Step 5: Solve for x
    x = 5,243,787,396/65,731.50
  6. Step 6: Final answer
    x = 79,775.87

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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.