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Finding the Third Proportional to 17,922 and 26,874

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Solution

The third proportional to 17,922 and 26,874 is: 40,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922 : 26,874 = 26,874 : x
  2. Step 2: Convert to fraction form
    17,922/26,874 = 26,874/x
  3. Step 3: Cross multiply
    17,922x = 26,874 × 26,874
  4. Step 4: Simplify right side
    17,922x = 722,211,876
  5. Step 5: Solve for x
    x = 722,211,876/17,922
  6. Step 6: Final answer
    x = 40,297.50

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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.