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Finding the Third Proportional to 39,943 and 60,644

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Solution

The third proportional to 39,943 and 60,644 is: 92,073.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,943 : 60,644 = 60,644 : x
  2. Step 2: Convert to fraction form
    39,943/60,644 = 60,644/x
  3. Step 3: Cross multiply
    39,943x = 60,644 × 60,644
  4. Step 4: Simplify right side
    39,943x = 3,677,694,736
  5. Step 5: Solve for x
    x = 3,677,694,736/39,943
  6. Step 6: Final answer
    x = 92,073.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.