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Finding the Third Proportional to 3,927 and 6,073

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Solution

The third proportional to 3,927 and 6,073 is: 9,391.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927 : 6,073 = 6,073 : x
  2. Step 2: Convert to fraction form
    3,927/6,073 = 6,073/x
  3. Step 3: Cross multiply
    3,927x = 6,073 × 6,073
  4. Step 4: Simplify right side
    3,927x = 36,881,329
  5. Step 5: Solve for x
    x = 36,881,329/3,927
  6. Step 6: Final answer
    x = 9,391.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.