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Finding the Third Proportional to 3,727.13 and 5,523.19

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Solution

The third proportional to 3,727.13 and 5,523.19 is: 8,184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.13 : 5,523.19 = 5,523.19 : x
  2. Step 2: Convert to fraction form
    3,727.13/5,523.19 = 5,523.19/x
  3. Step 3: Cross multiply
    3,727.13x = 5,523.19 × 5,523.19
  4. Step 4: Simplify right side
    3,727.13x = 30,505,600.16
  5. Step 5: Solve for x
    x = 30,505,600.16/3,727.13
  6. Step 6: Final answer
    x = 8,184.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.