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Finding the Third Proportional to 3,944 and 4,766

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Solution

The third proportional to 3,944 and 4,766 is: 5,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944 : 4,766 = 4,766 : x
  2. Step 2: Convert to fraction form
    3,944/4,766 = 4,766/x
  3. Step 3: Cross multiply
    3,944x = 4,766 × 4,766
  4. Step 4: Simplify right side
    3,944x = 22,714,756
  5. Step 5: Solve for x
    x = 22,714,756/3,944
  6. Step 6: Final answer
    x = 5,759.32

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.