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Finding the Third Proportional to 12,125 and 18,197

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Solution

The third proportional to 12,125 and 18,197 is: 27,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,125 : 18,197 = 18,197 : x
  2. Step 2: Convert to fraction form
    12,125/18,197 = 18,197/x
  3. Step 3: Cross multiply
    12,125x = 18,197 × 18,197
  4. Step 4: Simplify right side
    12,125x = 331,130,809
  5. Step 5: Solve for x
    x = 331,130,809/12,125
  6. Step 6: Final answer
    x = 27,309.76

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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.