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Finding the Third Proportional to 8,382.94 and 17,454.75

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Solution

The third proportional to 8,382.94 and 17,454.75 is: 36,343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.94 : 17,454.75 = 17,454.75 : x
  2. Step 2: Convert to fraction form
    8,382.94/17,454.75 = 17,454.75/x
  3. Step 3: Cross multiply
    8,382.94x = 17,454.75 × 17,454.75
  4. Step 4: Simplify right side
    8,382.94x = 304,668,297.56
  5. Step 5: Solve for x
    x = 304,668,297.56/8,382.94
  6. Step 6: Final answer
    x = 36,343.86

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Why These Related Problems?

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