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Finding the Third Proportional to 44,728 and 71,908

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Solution

The third proportional to 44,728 and 71,908 is: 115,604.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,728 : 71,908 = 71,908 : x
  2. Step 2: Convert to fraction form
    44,728/71,908 = 71,908/x
  3. Step 3: Cross multiply
    44,728x = 71,908 × 71,908
  4. Step 4: Simplify right side
    44,728x = 5,170,760,464
  5. Step 5: Solve for x
    x = 5,170,760,464/44,728
  6. Step 6: Final answer
    x = 115,604.55

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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.