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Finding the Third Proportional to 17,014 and 26,279

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Solution

The third proportional to 17,014 and 26,279 is: 40,589.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,014 : 26,279 = 26,279 : x
  2. Step 2: Convert to fraction form
    17,014/26,279 = 26,279/x
  3. Step 3: Cross multiply
    17,014x = 26,279 × 26,279
  4. Step 4: Simplify right side
    17,014x = 690,585,841
  5. Step 5: Solve for x
    x = 690,585,841/17,014
  6. Step 6: Final answer
    x = 40,589.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.