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Finding the Third Proportional to 38,921 and 60,204

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Solution

The third proportional to 38,921 and 60,204 is: 93,125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,921 : 60,204 = 60,204 : x
  2. Step 2: Convert to fraction form
    38,921/60,204 = 60,204/x
  3. Step 3: Cross multiply
    38,921x = 60,204 × 60,204
  4. Step 4: Simplify right side
    38,921x = 3,624,521,616
  5. Step 5: Solve for x
    x = 3,624,521,616/38,921
  6. Step 6: Final answer
    x = 93,125.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.