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Finding the Third Proportional to 22,877 and 49,498

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Solution

The third proportional to 22,877 and 49,498 is: 107,096.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,877 : 49,498 = 49,498 : x
  2. Step 2: Convert to fraction form
    22,877/49,498 = 49,498/x
  3. Step 3: Cross multiply
    22,877x = 49,498 × 49,498
  4. Step 4: Simplify right side
    22,877x = 2,450,052,004
  5. Step 5: Solve for x
    x = 2,450,052,004/22,877
  6. Step 6: Final answer
    x = 107,096.73

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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.