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Finding the Third Proportional to 33,227 and 72,682

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Solution

The third proportional to 33,227 and 72,682 is: 158,987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,227 : 72,682 = 72,682 : x
  2. Step 2: Convert to fraction form
    33,227/72,682 = 72,682/x
  3. Step 3: Cross multiply
    33,227x = 72,682 × 72,682
  4. Step 4: Simplify right side
    33,227x = 5,282,673,124
  5. Step 5: Solve for x
    x = 5,282,673,124/33,227
  6. Step 6: Final answer
    x = 158,987.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.