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Finding the Third Proportional to 41,517.50 and 64,463

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Solution

The third proportional to 41,517.50 and 64,463 is: 100,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,517.50 : 64,463 = 64,463 : x
  2. Step 2: Convert to fraction form
    41,517.50/64,463 = 64,463/x
  3. Step 3: Cross multiply
    41,517.50x = 64,463 × 64,463
  4. Step 4: Simplify right side
    41,517.50x = 4,155,478,369
  5. Step 5: Solve for x
    x = 4,155,478,369/41,517.50
  6. Step 6: Final answer
    x = 100,089.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.