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Finding the Third Proportional to 23,115.38 and 51,607.13

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Solution

The third proportional to 23,115.38 and 51,607.13 is: 115,217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,115.38 : 51,607.13 = 51,607.13 : x
  2. Step 2: Convert to fraction form
    23,115.38/51,607.13 = 51,607.13/x
  3. Step 3: Cross multiply
    23,115.38x = 51,607.13 × 51,607.13
  4. Step 4: Simplify right side
    23,115.38x = 2,663,295,350.77
  5. Step 5: Solve for x
    x = 2,663,295,350.77/23,115.38
  6. Step 6: Final answer
    x = 115,217.48

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.