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Finding the Third Proportional to 40,330 and 59,087

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Solution

The third proportional to 40,330 and 59,087 is: 86,567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,330 : 59,087 = 59,087 : x
  2. Step 2: Convert to fraction form
    40,330/59,087 = 59,087/x
  3. Step 3: Cross multiply
    40,330x = 59,087 × 59,087
  4. Step 4: Simplify right side
    40,330x = 3,491,273,569
  5. Step 5: Solve for x
    x = 3,491,273,569/40,330
  6. Step 6: Final answer
    x = 86,567.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.