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Finding the Third Proportional to 12,142 and 18,198

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Solution

The third proportional to 12,142 and 18,198 is: 27,274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142 : 18,198 = 18,198 : x
  2. Step 2: Convert to fraction form
    12,142/18,198 = 18,198/x
  3. Step 3: Cross multiply
    12,142x = 18,198 × 18,198
  4. Step 4: Simplify right side
    12,142x = 331,167,204
  5. Step 5: Solve for x
    x = 331,167,204/12,142
  6. Step 6: Final answer
    x = 27,274.52

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Why These Related Problems?

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