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Finding the Third Proportional to 39,112 and 60,589

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Solution

The third proportional to 39,112 and 60,589 is: 93,859.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,112 : 60,589 = 60,589 : x
  2. Step 2: Convert to fraction form
    39,112/60,589 = 60,589/x
  3. Step 3: Cross multiply
    39,112x = 60,589 × 60,589
  4. Step 4: Simplify right side
    39,112x = 3,671,026,921
  5. Step 5: Solve for x
    x = 3,671,026,921/39,112
  6. Step 6: Final answer
    x = 93,859.35

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Why These Related Problems?

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