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Finding the Third Proportional to 44,593 and 60,738

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Solution

The third proportional to 44,593 and 60,738 is: 82,728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,593 : 60,738 = 60,738 : x
  2. Step 2: Convert to fraction form
    44,593/60,738 = 60,738/x
  3. Step 3: Cross multiply
    44,593x = 60,738 × 60,738
  4. Step 4: Simplify right side
    44,593x = 3,689,104,644
  5. Step 5: Solve for x
    x = 3,689,104,644/44,593
  6. Step 6: Final answer
    x = 82,728.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.