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Finding the Third Proportional to 37,007.44 and 81,395.44

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Solution

The third proportional to 37,007.44 and 81,395.44 is: 179,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,007.44 : 81,395.44 = 81,395.44 : x
  2. Step 2: Convert to fraction form
    37,007.44/81,395.44 = 81,395.44/x
  3. Step 3: Cross multiply
    37,007.44x = 81,395.44 × 81,395.44
  4. Step 4: Simplify right side
    37,007.44x = 6,625,217,245.82
  5. Step 5: Solve for x
    x = 6,625,217,245.82/37,007.44
  6. Step 6: Final answer
    x = 179,023.94

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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.