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Finding the Third Proportional to 4,085 and 6,067

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Solution

The third proportional to 4,085 and 6,067 is: 9,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,085 : 6,067 = 6,067 : x
  2. Step 2: Convert to fraction form
    4,085/6,067 = 6,067/x
  3. Step 3: Cross multiply
    4,085x = 6,067 × 6,067
  4. Step 4: Simplify right side
    4,085x = 36,808,489
  5. Step 5: Solve for x
    x = 36,808,489/4,085
  6. Step 6: Final answer
    x = 9,010.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.