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Finding the Third Proportional to 3,791.06 and 6,000.19

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Solution

The third proportional to 3,791.06 and 6,000.19 is: 9,496.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.06 : 6,000.19 = 6,000.19 : x
  2. Step 2: Convert to fraction form
    3,791.06/6,000.19 = 6,000.19/x
  3. Step 3: Cross multiply
    3,791.06x = 6,000.19 × 6,000.19
  4. Step 4: Simplify right side
    3,791.06x = 36,002,250.04
  5. Step 5: Solve for x
    x = 36,002,250.04/3,791.06
  6. Step 6: Final answer
    x = 9,496.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.