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Finding the Third Proportional to 18,279 and 24,867

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Solution

The third proportional to 18,279 and 24,867 is: 33,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,279 : 24,867 = 24,867 : x
  2. Step 2: Convert to fraction form
    18,279/24,867 = 24,867/x
  3. Step 3: Cross multiply
    18,279x = 24,867 × 24,867
  4. Step 4: Simplify right side
    18,279x = 618,367,689
  5. Step 5: Solve for x
    x = 618,367,689/18,279
  6. Step 6: Final answer
    x = 33,829.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.