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Finding the Third Proportional to 22,744 and 49,107

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Solution

The third proportional to 22,744 and 49,107 is: 106,027.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,744 : 49,107 = 49,107 : x
  2. Step 2: Convert to fraction form
    22,744/49,107 = 49,107/x
  3. Step 3: Cross multiply
    22,744x = 49,107 × 49,107
  4. Step 4: Simplify right side
    22,744x = 2,411,497,449
  5. Step 5: Solve for x
    x = 2,411,497,449/22,744
  6. Step 6: Final answer
    x = 106,027.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.