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Finding the Third Proportional to 13,161 and 20,227

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Solution

The third proportional to 13,161 and 20,227 is: 31,086.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,161 : 20,227 = 20,227 : x
  2. Step 2: Convert to fraction form
    13,161/20,227 = 20,227/x
  3. Step 3: Cross multiply
    13,161x = 20,227 × 20,227
  4. Step 4: Simplify right side
    13,161x = 409,131,529
  5. Step 5: Solve for x
    x = 409,131,529/13,161
  6. Step 6: Final answer
    x = 31,086.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.