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Finding the Third Proportional to 33,016 and 68,768

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Solution

The third proportional to 33,016 and 68,768 is: 143,234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,016 : 68,768 = 68,768 : x
  2. Step 2: Convert to fraction form
    33,016/68,768 = 68,768/x
  3. Step 3: Cross multiply
    33,016x = 68,768 × 68,768
  4. Step 4: Simplify right side
    33,016x = 4,729,037,824
  5. Step 5: Solve for x
    x = 4,729,037,824/33,016
  6. Step 6: Final answer
    x = 143,234.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.