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Finding the Third Proportional to 33,069 and 73,493

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Solution

The third proportional to 33,069 and 73,493 is: 163,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,069 : 73,493 = 73,493 : x
  2. Step 2: Convert to fraction form
    33,069/73,493 = 73,493/x
  3. Step 3: Cross multiply
    33,069x = 73,493 × 73,493
  4. Step 4: Simplify right side
    33,069x = 5,401,221,049
  5. Step 5: Solve for x
    x = 5,401,221,049/33,069
  6. Step 6: Final answer
    x = 163,331.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.