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Finding the Third Proportional to 33,934 and 48,876

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Solution

The third proportional to 33,934 and 48,876 is: 70,397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,934 : 48,876 = 48,876 : x
  2. Step 2: Convert to fraction form
    33,934/48,876 = 48,876/x
  3. Step 3: Cross multiply
    33,934x = 48,876 × 48,876
  4. Step 4: Simplify right side
    33,934x = 2,388,863,376
  5. Step 5: Solve for x
    x = 2,388,863,376/33,934
  6. Step 6: Final answer
    x = 70,397.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.