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Finding the Third Proportional to 17,738 and 26,975

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Solution

The third proportional to 17,738 and 26,975 is: 41,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738 : 26,975 = 26,975 : x
  2. Step 2: Convert to fraction form
    17,738/26,975 = 26,975/x
  3. Step 3: Cross multiply
    17,738x = 26,975 × 26,975
  4. Step 4: Simplify right side
    17,738x = 727,650,625
  5. Step 5: Solve for x
    x = 727,650,625/17,738
  6. Step 6: Final answer
    x = 41,022.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.