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Finding the Third Proportional to 22,949 and 49,366

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Solution

The third proportional to 22,949 and 49,366 is: 106,192.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,949 : 49,366 = 49,366 : x
  2. Step 2: Convert to fraction form
    22,949/49,366 = 49,366/x
  3. Step 3: Cross multiply
    22,949x = 49,366 × 49,366
  4. Step 4: Simplify right side
    22,949x = 2,437,001,956
  5. Step 5: Solve for x
    x = 2,437,001,956/22,949
  6. Step 6: Final answer
    x = 106,192.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.