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Finding the Third Proportional to 3,791.81 and 5,523.19

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Solution

The third proportional to 3,791.81 and 5,523.19 is: 8,045.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.81 : 5,523.19 = 5,523.19 : x
  2. Step 2: Convert to fraction form
    3,791.81/5,523.19 = 5,523.19/x
  3. Step 3: Cross multiply
    3,791.81x = 5,523.19 × 5,523.19
  4. Step 4: Simplify right side
    3,791.81x = 30,505,600.16
  5. Step 5: Solve for x
    x = 30,505,600.16/3,791.81
  6. Step 6: Final answer
    x = 8,045.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.