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Finding the Third Proportional to 41,520.38 and 64,468

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Solution

The third proportional to 41,520.38 and 64,468 is: 100,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,520.38 : 64,468 = 64,468 : x
  2. Step 2: Convert to fraction form
    41,520.38/64,468 = 64,468/x
  3. Step 3: Cross multiply
    41,520.38x = 64,468 × 64,468
  4. Step 4: Simplify right side
    41,520.38x = 4,156,123,024
  5. Step 5: Solve for x
    x = 4,156,123,024/41,520.38
  6. Step 6: Final answer
    x = 100,098.40

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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.