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Finding the Third Proportional to 17,874 and 26,296

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Solution

The third proportional to 17,874 and 26,296 is: 38,686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,874 : 26,296 = 26,296 : x
  2. Step 2: Convert to fraction form
    17,874/26,296 = 26,296/x
  3. Step 3: Cross multiply
    17,874x = 26,296 × 26,296
  4. Step 4: Simplify right side
    17,874x = 691,479,616
  5. Step 5: Solve for x
    x = 691,479,616/17,874
  6. Step 6: Final answer
    x = 38,686.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.