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Finding the Third Proportional to 22,581 and 33,545.25

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Solution

The third proportional to 22,581 and 33,545.25 is: 49,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,581 : 33,545.25 = 33,545.25 : x
  2. Step 2: Convert to fraction form
    22,581/33,545.25 = 33,545.25/x
  3. Step 3: Cross multiply
    22,581x = 33,545.25 × 33,545.25
  4. Step 4: Simplify right side
    22,581x = 1,125,283,797.56
  5. Step 5: Solve for x
    x = 1,125,283,797.56/22,581
  6. Step 6: Final answer
    x = 49,833.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.