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Finding the Third Proportional to 33,460.88 and 69,694.88

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Solution

The third proportional to 33,460.88 and 69,694.88 is: 145,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,460.88 : 69,694.88 = 69,694.88 : x
  2. Step 2: Convert to fraction form
    33,460.88/69,694.88 = 69,694.88/x
  3. Step 3: Cross multiply
    33,460.88x = 69,694.88 × 69,694.88
  4. Step 4: Simplify right side
    33,460.88x = 4,857,375,601.27
  5. Step 5: Solve for x
    x = 4,857,375,601.27/33,460.88
  6. Step 6: Final answer
    x = 145,165.83

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