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Finding the Third Proportional to 13,797 and 18,218

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Solution

The third proportional to 13,797 and 18,218 is: 24,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797 : 18,218 = 18,218 : x
  2. Step 2: Convert to fraction form
    13,797/18,218 = 18,218/x
  3. Step 3: Cross multiply
    13,797x = 18,218 × 18,218
  4. Step 4: Simplify right side
    13,797x = 331,895,524
  5. Step 5: Solve for x
    x = 331,895,524/13,797
  6. Step 6: Final answer
    x = 24,055.63

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.