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Finding the Third Proportional to 15,884 and 33,876

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Solution

The third proportional to 15,884 and 33,876 is: 72,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884 : 33,876 = 33,876 : x
  2. Step 2: Convert to fraction form
    15,884/33,876 = 33,876/x
  3. Step 3: Cross multiply
    15,884x = 33,876 × 33,876
  4. Step 4: Simplify right side
    15,884x = 1,147,583,376
  5. Step 5: Solve for x
    x = 1,147,583,376/15,884
  6. Step 6: Final answer
    x = 72,247.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.