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Finding the Third Proportional to 33,516.28 and 69,789.09

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Solution

The third proportional to 33,516.28 and 69,789.09 is: 145,317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,516.28 : 69,789.09 = 69,789.09 : x
  2. Step 2: Convert to fraction form
    33,516.28/69,789.09 = 69,789.09/x
  3. Step 3: Cross multiply
    33,516.28x = 69,789.09 × 69,789.09
  4. Step 4: Simplify right side
    33,516.28x = 4,870,517,606.45
  5. Step 5: Solve for x
    x = 4,870,517,606.45/33,516.28
  6. Step 6: Final answer
    x = 145,317.96

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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.