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Finding the Third Proportional to 3,079.27 and 5,180.84

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Solution

The third proportional to 3,079.27 and 5,180.84 is: 8,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079.27 : 5,180.84 = 5,180.84 : x
  2. Step 2: Convert to fraction form
    3,079.27/5,180.84 = 5,180.84/x
  3. Step 3: Cross multiply
    3,079.27x = 5,180.84 × 5,180.84
  4. Step 4: Simplify right side
    3,079.27x = 26,841,061.01
  5. Step 5: Solve for x
    x = 26,841,061.01/3,079.27
  6. Step 6: Final answer
    x = 8,716.71

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.