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Finding the Third Proportional to 39,204 and 58,894

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Solution

The third proportional to 39,204 and 58,894 is: 88,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,204 : 58,894 = 58,894 : x
  2. Step 2: Convert to fraction form
    39,204/58,894 = 58,894/x
  3. Step 3: Cross multiply
    39,204x = 58,894 × 58,894
  4. Step 4: Simplify right side
    39,204x = 3,468,503,236
  5. Step 5: Solve for x
    x = 3,468,503,236/39,204
  6. Step 6: Final answer
    x = 88,473.20

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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.