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Finding the Third Proportional to 37,227 and 81,825

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Solution

The third proportional to 37,227 and 81,825 is: 179,851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,227 : 81,825 = 81,825 : x
  2. Step 2: Convert to fraction form
    37,227/81,825 = 81,825/x
  3. Step 3: Cross multiply
    37,227x = 81,825 × 81,825
  4. Step 4: Simplify right side
    37,227x = 6,695,330,625
  5. Step 5: Solve for x
    x = 6,695,330,625/37,227
  6. Step 6: Final answer
    x = 179,851.47

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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.