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Finding the Third Proportional to 5,850.94 and 8,278.97

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Solution

The third proportional to 5,850.94 and 8,278.97 is: 11,714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.94 : 8,278.97 = 8,278.97 : x
  2. Step 2: Convert to fraction form
    5,850.94/8,278.97 = 8,278.97/x
  3. Step 3: Cross multiply
    5,850.94x = 8,278.97 × 8,278.97
  4. Step 4: Simplify right side
    5,850.94x = 68,541,323.56
  5. Step 5: Solve for x
    x = 68,541,323.56/5,850.94
  6. Step 6: Final answer
    x = 11,714.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.