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Finding the Third Proportional to 12,869 and 18,027

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Solution

The third proportional to 12,869 and 18,027 is: 25,252.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869 : 18,027 = 18,027 : x
  2. Step 2: Convert to fraction form
    12,869/18,027 = 18,027/x
  3. Step 3: Cross multiply
    12,869x = 18,027 × 18,027
  4. Step 4: Simplify right side
    12,869x = 324,972,729
  5. Step 5: Solve for x
    x = 324,972,729/12,869
  6. Step 6: Final answer
    x = 25,252.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.