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Finding the Third Proportional to 33,533 and 62,311

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Solution

The third proportional to 33,533 and 62,311 is: 115,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,533 : 62,311 = 62,311 : x
  2. Step 2: Convert to fraction form
    33,533/62,311 = 62,311/x
  3. Step 3: Cross multiply
    33,533x = 62,311 × 62,311
  4. Step 4: Simplify right side
    33,533x = 3,882,660,721
  5. Step 5: Solve for x
    x = 3,882,660,721/33,533
  6. Step 6: Final answer
    x = 115,786.26

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.