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Finding the Third Proportional to 26,094.38 and 58,165.13

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Solution

The third proportional to 26,094.38 and 58,165.13 is: 129,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,094.38 : 58,165.13 = 58,165.13 : x
  2. Step 2: Convert to fraction form
    26,094.38/58,165.13 = 58,165.13/x
  3. Step 3: Cross multiply
    26,094.38x = 58,165.13 × 58,165.13
  4. Step 4: Simplify right side
    26,094.38x = 3,383,181,766.27
  5. Step 5: Solve for x
    x = 3,383,181,766.27/26,094.38
  6. Step 6: Final answer
    x = 129,651.76

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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.