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Finding the Third Proportional to 2,734 and 5,975

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Solution

The third proportional to 2,734 and 5,975 is: 13,058.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734 : 5,975 = 5,975 : x
  2. Step 2: Convert to fraction form
    2,734/5,975 = 5,975/x
  3. Step 3: Cross multiply
    2,734x = 5,975 × 5,975
  4. Step 4: Simplify right side
    2,734x = 35,700,625
  5. Step 5: Solve for x
    x = 35,700,625/2,734
  6. Step 6: Final answer
    x = 13,058.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.