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Finding the Third Proportional to 6,180 and 12,975

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Solution

The third proportional to 6,180 and 12,975 is: 27,241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180 : 12,975 = 12,975 : x
  2. Step 2: Convert to fraction form
    6,180/12,975 = 12,975/x
  3. Step 3: Cross multiply
    6,180x = 12,975 × 12,975
  4. Step 4: Simplify right side
    6,180x = 168,350,625
  5. Step 5: Solve for x
    x = 168,350,625/6,180
  6. Step 6: Final answer
    x = 27,241.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.