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Finding the Third Proportional to 33,954 and 75,684

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Solution

The third proportional to 33,954 and 75,684 is: 168,700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,954 : 75,684 = 75,684 : x
  2. Step 2: Convert to fraction form
    33,954/75,684 = 75,684/x
  3. Step 3: Cross multiply
    33,954x = 75,684 × 75,684
  4. Step 4: Simplify right side
    33,954x = 5,728,067,856
  5. Step 5: Solve for x
    x = 5,728,067,856/33,954
  6. Step 6: Final answer
    x = 168,700.83

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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.