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Finding the Third Proportional to 18,131 and 38,227

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Solution

The third proportional to 18,131 and 38,227 is: 80,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,131 : 38,227 = 38,227 : x
  2. Step 2: Convert to fraction form
    18,131/38,227 = 38,227/x
  3. Step 3: Cross multiply
    18,131x = 38,227 × 38,227
  4. Step 4: Simplify right side
    18,131x = 1,461,303,529
  5. Step 5: Solve for x
    x = 1,461,303,529/18,131
  6. Step 6: Final answer
    x = 80,596.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.