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Finding the Third Proportional to 44,758 and 62,739

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Solution

The third proportional to 44,758 and 62,739 is: 87,943.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,758 : 62,739 = 62,739 : x
  2. Step 2: Convert to fraction form
    44,758/62,739 = 62,739/x
  3. Step 3: Cross multiply
    44,758x = 62,739 × 62,739
  4. Step 4: Simplify right side
    44,758x = 3,936,182,121
  5. Step 5: Solve for x
    x = 3,936,182,121/44,758
  6. Step 6: Final answer
    x = 87,943.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.