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Finding the Third Proportional to 22,711 and 49,508

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Solution

The third proportional to 22,711 and 49,508 is: 107,923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711 : 49,508 = 49,508 : x
  2. Step 2: Convert to fraction form
    22,711/49,508 = 49,508/x
  3. Step 3: Cross multiply
    22,711x = 49,508 × 49,508
  4. Step 4: Simplify right side
    22,711x = 2,451,042,064
  5. Step 5: Solve for x
    x = 2,451,042,064/22,711
  6. Step 6: Final answer
    x = 107,923.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.