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Finding the Third Proportional to 3,793.13 and 5,821.31

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Solution

The third proportional to 3,793.13 and 5,821.31 is: 8,933.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.13 : 5,821.31 = 5,821.31 : x
  2. Step 2: Convert to fraction form
    3,793.13/5,821.31 = 5,821.31/x
  3. Step 3: Cross multiply
    3,793.13x = 5,821.31 × 5,821.31
  4. Step 4: Simplify right side
    3,793.13x = 33,887,679.22
  5. Step 5: Solve for x
    x = 33,887,679.22/3,793.13
  6. Step 6: Final answer
    x = 8,933.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.