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Finding the Third Proportional to 17,071 and 26,375

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Solution

The third proportional to 17,071 and 26,375 is: 40,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,071 : 26,375 = 26,375 : x
  2. Step 2: Convert to fraction form
    17,071/26,375 = 26,375/x
  3. Step 3: Cross multiply
    17,071x = 26,375 × 26,375
  4. Step 4: Simplify right side
    17,071x = 695,640,625
  5. Step 5: Solve for x
    x = 695,640,625/17,071
  6. Step 6: Final answer
    x = 40,749.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.