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Finding the Third Proportional to 12,121 and 18,163

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Solution

The third proportional to 12,121 and 18,163 is: 27,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121 : 18,163 = 18,163 : x
  2. Step 2: Convert to fraction form
    12,121/18,163 = 18,163/x
  3. Step 3: Cross multiply
    12,121x = 18,163 × 18,163
  4. Step 4: Simplify right side
    12,121x = 329,894,569
  5. Step 5: Solve for x
    x = 329,894,569/12,121
  6. Step 6: Final answer
    x = 27,216.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.