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Finding the Third Proportional to 13,067 and 28,198

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Solution

The third proportional to 13,067 and 28,198 is: 60,850.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,067 : 28,198 = 28,198 : x
  2. Step 2: Convert to fraction form
    13,067/28,198 = 28,198/x
  3. Step 3: Cross multiply
    13,067x = 28,198 × 28,198
  4. Step 4: Simplify right side
    13,067x = 795,127,204
  5. Step 5: Solve for x
    x = 795,127,204/13,067
  6. Step 6: Final answer
    x = 60,850.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.