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Finding the Third Proportional to 14,198 and 19,908

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Solution

The third proportional to 14,198 and 19,908 is: 27,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198 : 19,908 = 19,908 : x
  2. Step 2: Convert to fraction form
    14,198/19,908 = 19,908/x
  3. Step 3: Cross multiply
    14,198x = 19,908 × 19,908
  4. Step 4: Simplify right side
    14,198x = 396,328,464
  5. Step 5: Solve for x
    x = 396,328,464/14,198
  6. Step 6: Final answer
    x = 27,914.39

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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.