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Finding the Third Proportional to 4,866 and 6,463

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Solution

The third proportional to 4,866 and 6,463 is: 8,584.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866 : 6,463 = 6,463 : x
  2. Step 2: Convert to fraction form
    4,866/6,463 = 6,463/x
  3. Step 3: Cross multiply
    4,866x = 6,463 × 6,463
  4. Step 4: Simplify right side
    4,866x = 41,770,369
  5. Step 5: Solve for x
    x = 41,770,369/4,866
  6. Step 6: Final answer
    x = 8,584.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.