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Finding the Third Proportional to 22,712 and 49,744

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Solution

The third proportional to 22,712 and 49,744 is: 108,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,712 : 49,744 = 49,744 : x
  2. Step 2: Convert to fraction form
    22,712/49,744 = 49,744/x
  3. Step 3: Cross multiply
    22,712x = 49,744 × 49,744
  4. Step 4: Simplify right side
    22,712x = 2,474,465,536
  5. Step 5: Solve for x
    x = 2,474,465,536/22,712
  6. Step 6: Final answer
    x = 108,949.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.