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Finding the Third Proportional to 3,194 and 4,027

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Solution

The third proportional to 3,194 and 4,027 is: 5,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194 : 4,027 = 4,027 : x
  2. Step 2: Convert to fraction form
    3,194/4,027 = 4,027/x
  3. Step 3: Cross multiply
    3,194x = 4,027 × 4,027
  4. Step 4: Simplify right side
    3,194x = 16,216,729
  5. Step 5: Solve for x
    x = 16,216,729/3,194
  6. Step 6: Final answer
    x = 5,077.25

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.