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Finding the Third Proportional to 33,307 and 68,962

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Solution

The third proportional to 33,307 and 68,962 is: 142,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,307 : 68,962 = 68,962 : x
  2. Step 2: Convert to fraction form
    33,307/68,962 = 68,962/x
  3. Step 3: Cross multiply
    33,307x = 68,962 × 68,962
  4. Step 4: Simplify right side
    33,307x = 4,755,757,444
  5. Step 5: Solve for x
    x = 4,755,757,444/33,307
  6. Step 6: Final answer
    x = 142,785.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.