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Finding the Third Proportional to 12,418 and 18,600

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Solution

The third proportional to 12,418 and 18,600 is: 27,859.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,418 : 18,600 = 18,600 : x
  2. Step 2: Convert to fraction form
    12,418/18,600 = 18,600/x
  3. Step 3: Cross multiply
    12,418x = 18,600 × 18,600
  4. Step 4: Simplify right side
    12,418x = 345,960,000
  5. Step 5: Solve for x
    x = 345,960,000/12,418
  6. Step 6: Final answer
    x = 27,859.56

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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.