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Finding the Third Proportional to 10,243.97 and 22,545.84

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Solution

The third proportional to 10,243.97 and 22,545.84 is: 49,620.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.97 : 22,545.84 = 22,545.84 : x
  2. Step 2: Convert to fraction form
    10,243.97/22,545.84 = 22,545.84/x
  3. Step 3: Cross multiply
    10,243.97x = 22,545.84 × 22,545.84
  4. Step 4: Simplify right side
    10,243.97x = 508,315,070.40
  5. Step 5: Solve for x
    x = 508,315,070.40/10,243.97
  6. Step 6: Final answer
    x = 49,620.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.