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Finding the Third Proportional to 17,794 and 26,740

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Solution

The third proportional to 17,794 and 26,740 is: 40,183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,794 : 26,740 = 26,740 : x
  2. Step 2: Convert to fraction form
    17,794/26,740 = 26,740/x
  3. Step 3: Cross multiply
    17,794x = 26,740 × 26,740
  4. Step 4: Simplify right side
    17,794x = 715,027,600
  5. Step 5: Solve for x
    x = 715,027,600/17,794
  6. Step 6: Final answer
    x = 40,183.63

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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.