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Finding the Third Proportional to 11,977 and 17,975

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Solution

The third proportional to 11,977 and 17,975 is: 26,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977 : 17,975 = 17,975 : x
  2. Step 2: Convert to fraction form
    11,977/17,975 = 17,975/x
  3. Step 3: Cross multiply
    11,977x = 17,975 × 17,975
  4. Step 4: Simplify right side
    11,977x = 323,100,625
  5. Step 5: Solve for x
    x = 323,100,625/11,977
  6. Step 6: Final answer
    x = 26,976.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.