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Finding the Third Proportional to 37,227 and 76,425

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Solution

The third proportional to 37,227 and 76,425 is: 156,896.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,227 : 76,425 = 76,425 : x
  2. Step 2: Convert to fraction form
    37,227/76,425 = 76,425/x
  3. Step 3: Cross multiply
    37,227x = 76,425 × 76,425
  4. Step 4: Simplify right side
    37,227x = 5,840,780,625
  5. Step 5: Solve for x
    x = 5,840,780,625/37,227
  6. Step 6: Final answer
    x = 156,896.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.