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Finding the Third Proportional to 33,494 and 66,988

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Solution

The third proportional to 33,494 and 66,988 is: 133,976

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,494 : 66,988 = 66,988 : x
  2. Step 2: Convert to fraction form
    33,494/66,988 = 66,988/x
  3. Step 3: Cross multiply
    33,494x = 66,988 × 66,988
  4. Step 4: Simplify right side
    33,494x = 4,487,392,144
  5. Step 5: Solve for x
    x = 4,487,392,144/33,494
  6. Step 6: Final answer
    x = 133,976

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.