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Finding the Third Proportional to 12,197 and 18,242

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Solution

The third proportional to 12,197 and 18,242 is: 27,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197 : 18,242 = 18,242 : x
  2. Step 2: Convert to fraction form
    12,197/18,242 = 18,242/x
  3. Step 3: Cross multiply
    12,197x = 18,242 × 18,242
  4. Step 4: Simplify right side
    12,197x = 332,770,564
  5. Step 5: Solve for x
    x = 332,770,564/12,197
  6. Step 6: Final answer
    x = 27,282.98

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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.