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Finding the Third Proportional to 12,229.73 and 26,792.65

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Solution

The third proportional to 12,229.73 and 26,792.65 is: 58,696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.73 : 26,792.65 = 26,792.65 : x
  2. Step 2: Convert to fraction form
    12,229.73/26,792.65 = 26,792.65/x
  3. Step 3: Cross multiply
    12,229.73x = 26,792.65 × 26,792.65
  4. Step 4: Simplify right side
    12,229.73x = 717,846,010.30
  5. Step 5: Solve for x
    x = 717,846,010.30/12,229.73
  6. Step 6: Final answer
    x = 58,696.78

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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.