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Finding the Third Proportional to 33,612 and 73,337

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Solution

The third proportional to 33,612 and 73,337 is: 160,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,612 : 73,337 = 73,337 : x
  2. Step 2: Convert to fraction form
    33,612/73,337 = 73,337/x
  3. Step 3: Cross multiply
    33,612x = 73,337 × 73,337
  4. Step 4: Simplify right side
    33,612x = 5,378,315,569
  5. Step 5: Solve for x
    x = 5,378,315,569/33,612
  6. Step 6: Final answer
    x = 160,011.77

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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.