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Finding the Third Proportional to 4,189 and 5,967

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Solution

The third proportional to 4,189 and 5,967 is: 8,499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189 : 5,967 = 5,967 : x
  2. Step 2: Convert to fraction form
    4,189/5,967 = 5,967/x
  3. Step 3: Cross multiply
    4,189x = 5,967 × 5,967
  4. Step 4: Simplify right side
    4,189x = 35,605,089
  5. Step 5: Solve for x
    x = 35,605,089/4,189
  6. Step 6: Final answer
    x = 8,499.66

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.