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Finding the Third Proportional to 4,452 and 5,975

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Solution

The third proportional to 4,452 and 5,975 is: 8,019.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,452 : 5,975 = 5,975 : x
  2. Step 2: Convert to fraction form
    4,452/5,975 = 5,975/x
  3. Step 3: Cross multiply
    4,452x = 5,975 × 5,975
  4. Step 4: Simplify right side
    4,452x = 35,700,625
  5. Step 5: Solve for x
    x = 35,700,625/4,452
  6. Step 6: Final answer
    x = 8,019.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.