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Finding the Third Proportional to 33,781 and 75,329

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Solution

The third proportional to 33,781 and 75,329 is: 167,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,781 : 75,329 = 75,329 : x
  2. Step 2: Convert to fraction form
    33,781/75,329 = 75,329/x
  3. Step 3: Cross multiply
    33,781x = 75,329 × 75,329
  4. Step 4: Simplify right side
    33,781x = 5,674,458,241
  5. Step 5: Solve for x
    x = 5,674,458,241/33,781
  6. Step 6: Final answer
    x = 167,977.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.