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Finding the Third Proportional to 39,414 and 58,981

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Solution

The third proportional to 39,414 and 58,981 is: 88,262.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,414 : 58,981 = 58,981 : x
  2. Step 2: Convert to fraction form
    39,414/58,981 = 58,981/x
  3. Step 3: Cross multiply
    39,414x = 58,981 × 58,981
  4. Step 4: Simplify right side
    39,414x = 3,478,758,361
  5. Step 5: Solve for x
    x = 3,478,758,361/39,414
  6. Step 6: Final answer
    x = 88,262.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.