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Finding the Third Proportional to 13,397 and 20,218

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Solution

The third proportional to 13,397 and 20,218 is: 30,511.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,397 : 20,218 = 20,218 : x
  2. Step 2: Convert to fraction form
    13,397/20,218 = 20,218/x
  3. Step 3: Cross multiply
    13,397x = 20,218 × 20,218
  4. Step 4: Simplify right side
    13,397x = 408,767,524
  5. Step 5: Solve for x
    x = 408,767,524/13,397
  6. Step 6: Final answer
    x = 30,511.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.