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Finding the Third Proportional to 33,976 and 69,464

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Solution

The third proportional to 33,976 and 69,464 is: 142,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,976 : 69,464 = 69,464 : x
  2. Step 2: Convert to fraction form
    33,976/69,464 = 69,464/x
  3. Step 3: Cross multiply
    33,976x = 69,464 × 69,464
  4. Step 4: Simplify right side
    33,976x = 4,825,247,296
  5. Step 5: Solve for x
    x = 4,825,247,296/33,976
  6. Step 6: Final answer
    x = 142,019.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.