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Finding the Third Proportional to 41,474 and 64,227

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Solution

The third proportional to 41,474 and 64,227 is: 99,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,474 : 64,227 = 64,227 : x
  2. Step 2: Convert to fraction form
    41,474/64,227 = 64,227/x
  3. Step 3: Cross multiply
    41,474x = 64,227 × 64,227
  4. Step 4: Simplify right side
    41,474x = 4,125,107,529
  5. Step 5: Solve for x
    x = 4,125,107,529/41,474
  6. Step 6: Final answer
    x = 99,462.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.