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Finding the Third Proportional to 33,682 and 70,912

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Solution

The third proportional to 33,682 and 70,912 is: 149,293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,682 : 70,912 = 70,912 : x
  2. Step 2: Convert to fraction form
    33,682/70,912 = 70,912/x
  3. Step 3: Cross multiply
    33,682x = 70,912 × 70,912
  4. Step 4: Simplify right side
    33,682x = 5,028,511,744
  5. Step 5: Solve for x
    x = 5,028,511,744/33,682
  6. Step 6: Final answer
    x = 149,293.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.