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Finding the Third Proportional to 41,591.25 and 58,207.88

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Solution

The third proportional to 41,591.25 and 58,207.88 is: 81,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,591.25 : 58,207.88 = 58,207.88 : x
  2. Step 2: Convert to fraction form
    41,591.25/58,207.88 = 58,207.88/x
  3. Step 3: Cross multiply
    41,591.25x = 58,207.88 × 58,207.88
  4. Step 4: Simplify right side
    41,591.25x = 3,388,156,712.02
  5. Step 5: Solve for x
    x = 3,388,156,712.02/41,591.25
  6. Step 6: Final answer
    x = 81,463.21

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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.