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Finding the Third Proportional to 33,648 and 51,876

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Solution

The third proportional to 33,648 and 51,876 is: 79,978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,648 : 51,876 = 51,876 : x
  2. Step 2: Convert to fraction form
    33,648/51,876 = 51,876/x
  3. Step 3: Cross multiply
    33,648x = 51,876 × 51,876
  4. Step 4: Simplify right side
    33,648x = 2,691,119,376
  5. Step 5: Solve for x
    x = 2,691,119,376/33,648
  6. Step 6: Final answer
    x = 79,978.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.