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Finding the Third Proportional to 22,497 and 49,182

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Solution

The third proportional to 22,497 and 49,182 is: 107,519.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497 : 49,182 = 49,182 : x
  2. Step 2: Convert to fraction form
    22,497/49,182 = 49,182/x
  3. Step 3: Cross multiply
    22,497x = 49,182 × 49,182
  4. Step 4: Simplify right side
    22,497x = 2,418,869,124
  5. Step 5: Solve for x
    x = 2,418,869,124/22,497
  6. Step 6: Final answer
    x = 107,519.63

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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.