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Finding the Third Proportional to 3,927 and 4,337

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Solution

The third proportional to 3,927 and 4,337 is: 4,789.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927 : 4,337 = 4,337 : x
  2. Step 2: Convert to fraction form
    3,927/4,337 = 4,337/x
  3. Step 3: Cross multiply
    3,927x = 4,337 × 4,337
  4. Step 4: Simplify right side
    3,927x = 18,809,569
  5. Step 5: Solve for x
    x = 18,809,569/3,927
  6. Step 6: Final answer
    x = 4,789.81

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.