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Finding the Third Proportional to 39,912 and 58,113

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Solution

The third proportional to 39,912 and 58,113 is: 84,614.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,912 : 58,113 = 58,113 : x
  2. Step 2: Convert to fraction form
    39,912/58,113 = 58,113/x
  3. Step 3: Cross multiply
    39,912x = 58,113 × 58,113
  4. Step 4: Simplify right side
    39,912x = 3,377,120,769
  5. Step 5: Solve for x
    x = 3,377,120,769/39,912
  6. Step 6: Final answer
    x = 84,614.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.