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Finding the Third Proportional to 37,658.25 and 81,879.19

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Solution

The third proportional to 37,658.25 and 81,879.19 is: 178,027.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,658.25 : 81,879.19 = 81,879.19 : x
  2. Step 2: Convert to fraction form
    37,658.25/81,879.19 = 81,879.19/x
  3. Step 3: Cross multiply
    37,658.25x = 81,879.19 × 81,879.19
  4. Step 4: Simplify right side
    37,658.25x = 6,704,201,345.66
  5. Step 5: Solve for x
    x = 6,704,201,345.66/37,658.25
  6. Step 6: Final answer
    x = 178,027.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.