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Finding the Third Proportional to 44,631 and 71,759.25

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Solution

The third proportional to 44,631 and 71,759.25 is: 115,376.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,631 : 71,759.25 = 71,759.25 : x
  2. Step 2: Convert to fraction form
    44,631/71,759.25 = 71,759.25/x
  3. Step 3: Cross multiply
    44,631x = 71,759.25 × 71,759.25
  4. Step 4: Simplify right side
    44,631x = 5,149,389,960.56
  5. Step 5: Solve for x
    x = 5,149,389,960.56/44,631
  6. Step 6: Final answer
    x = 115,376.98

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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.