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Finding the Third Proportional to 3,927 and 4,329

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Solution

The third proportional to 3,927 and 4,329 is: 4,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927 : 4,329 = 4,329 : x
  2. Step 2: Convert to fraction form
    3,927/4,329 = 4,329/x
  3. Step 3: Cross multiply
    3,927x = 4,329 × 4,329
  4. Step 4: Simplify right side
    3,927x = 18,740,241
  5. Step 5: Solve for x
    x = 18,740,241/3,927
  6. Step 6: Final answer
    x = 4,772.15

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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.