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Finding the Third Proportional to 26,469.28 and 58,186.13

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Solution

The third proportional to 26,469.28 and 58,186.13 is: 127,907.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,469.28 : 58,186.13 = 58,186.13 : x
  2. Step 2: Convert to fraction form
    26,469.28/58,186.13 = 58,186.13/x
  3. Step 3: Cross multiply
    26,469.28x = 58,186.13 × 58,186.13
  4. Step 4: Simplify right side
    26,469.28x = 3,385,625,142.52
  5. Step 5: Solve for x
    x = 3,385,625,142.52/26,469.28
  6. Step 6: Final answer
    x = 127,907.71

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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.