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Finding the Third Proportional to 33,650 and 73,193

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Solution

The third proportional to 33,650 and 73,193 is: 159,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,650 : 73,193 = 73,193 : x
  2. Step 2: Convert to fraction form
    33,650/73,193 = 73,193/x
  3. Step 3: Cross multiply
    33,650x = 73,193 × 73,193
  4. Step 4: Simplify right side
    33,650x = 5,357,215,249
  5. Step 5: Solve for x
    x = 5,357,215,249/33,650
  6. Step 6: Final answer
    x = 159,204.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.