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Finding the Third Proportional to 23,884 and 36,199

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Solution

The third proportional to 23,884 and 36,199 is: 54,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884 : 36,199 = 36,199 : x
  2. Step 2: Convert to fraction form
    23,884/36,199 = 36,199/x
  3. Step 3: Cross multiply
    23,884x = 36,199 × 36,199
  4. Step 4: Simplify right side
    23,884x = 1,310,367,601
  5. Step 5: Solve for x
    x = 1,310,367,601/23,884
  6. Step 6: Final answer
    x = 54,863.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.