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Finding the Third Proportional to 10,807.73 and 23,229.98

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Solution

The third proportional to 10,807.73 and 23,229.98 is: 49,930.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.73 : 23,229.98 = 23,229.98 : x
  2. Step 2: Convert to fraction form
    10,807.73/23,229.98 = 23,229.98/x
  3. Step 3: Cross multiply
    10,807.73x = 23,229.98 × 23,229.98
  4. Step 4: Simplify right side
    10,807.73x = 539,632,174.06
  5. Step 5: Solve for x
    x = 539,632,174.06/10,807.73
  6. Step 6: Final answer
    x = 49,930.18

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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.