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Finding the Third Proportional to 22,761.38 and 49,896.75

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Solution

The third proportional to 22,761.38 and 49,896.75 is: 109,382.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,761.38 : 49,896.75 = 49,896.75 : x
  2. Step 2: Convert to fraction form
    22,761.38/49,896.75 = 49,896.75/x
  3. Step 3: Cross multiply
    22,761.38x = 49,896.75 × 49,896.75
  4. Step 4: Simplify right side
    22,761.38x = 2,489,685,660.56
  5. Step 5: Solve for x
    x = 2,489,685,660.56/22,761.38
  6. Step 6: Final answer
    x = 109,382.04

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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.