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Finding the Third Proportional to 40,982 and 59,229

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Solution

The third proportional to 40,982 and 59,229 is: 85,600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,982 : 59,229 = 59,229 : x
  2. Step 2: Convert to fraction form
    40,982/59,229 = 59,229/x
  3. Step 3: Cross multiply
    40,982x = 59,229 × 59,229
  4. Step 4: Simplify right side
    40,982x = 3,508,074,441
  5. Step 5: Solve for x
    x = 3,508,074,441/40,982
  6. Step 6: Final answer
    x = 85,600.37

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.