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Finding the Third Proportional to 3,927.94 and 4,791.38

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Solution

The third proportional to 3,927.94 and 4,791.38 is: 5,844.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.94 : 4,791.38 = 4,791.38 : x
  2. Step 2: Convert to fraction form
    3,927.94/4,791.38 = 4,791.38/x
  3. Step 3: Cross multiply
    3,927.94x = 4,791.38 × 4,791.38
  4. Step 4: Simplify right side
    3,927.94x = 22,957,274.39
  5. Step 5: Solve for x
    x = 22,957,274.39/3,927.94
  6. Step 6: Final answer
    x = 5,844.61

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.