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Finding the Third Proportional to 11,869 and 18,199

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Solution

The third proportional to 11,869 and 18,199 is: 27,904.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869 : 18,199 = 18,199 : x
  2. Step 2: Convert to fraction form
    11,869/18,199 = 18,199/x
  3. Step 3: Cross multiply
    11,869x = 18,199 × 18,199
  4. Step 4: Simplify right side
    11,869x = 331,203,601
  5. Step 5: Solve for x
    x = 331,203,601/11,869
  6. Step 6: Final answer
    x = 27,904.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.