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Finding the Third Proportional to 33,876 and 73,400

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Solution

The third proportional to 33,876 and 73,400 is: 159,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,876 : 73,400 = 73,400 : x
  2. Step 2: Convert to fraction form
    33,876/73,400 = 73,400/x
  3. Step 3: Cross multiply
    33,876x = 73,400 × 73,400
  4. Step 4: Simplify right side
    33,876x = 5,387,560,000
  5. Step 5: Solve for x
    x = 5,387,560,000/33,876
  6. Step 6: Final answer
    x = 159,037.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.