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Finding the Third Proportional to 4,078 and 6,227

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Solution

The third proportional to 4,078 and 6,227 is: 9,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078 : 6,227 = 6,227 : x
  2. Step 2: Convert to fraction form
    4,078/6,227 = 6,227/x
  3. Step 3: Cross multiply
    4,078x = 6,227 × 6,227
  4. Step 4: Simplify right side
    4,078x = 38,775,529
  5. Step 5: Solve for x
    x = 38,775,529/4,078
  6. Step 6: Final answer
    x = 9,508.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.