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Finding the Third Proportional to 44,632 and 71,759

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Solution

The third proportional to 44,632 and 71,759 is: 115,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,632 : 71,759 = 71,759 : x
  2. Step 2: Convert to fraction form
    44,632/71,759 = 71,759/x
  3. Step 3: Cross multiply
    44,632x = 71,759 × 71,759
  4. Step 4: Simplify right side
    44,632x = 5,149,354,081
  5. Step 5: Solve for x
    x = 5,149,354,081/44,632
  6. Step 6: Final answer
    x = 115,373.59

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.