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Finding the Third Proportional to 12,066 and 18,227

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Solution

The third proportional to 12,066 and 18,227 is: 27,533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066 : 18,227 = 18,227 : x
  2. Step 2: Convert to fraction form
    12,066/18,227 = 18,227/x
  3. Step 3: Cross multiply
    12,066x = 18,227 × 18,227
  4. Step 4: Simplify right side
    12,066x = 332,223,529
  5. Step 5: Solve for x
    x = 332,223,529/12,066
  6. Step 6: Final answer
    x = 27,533.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.