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Finding the Third Proportional to 8,297 and 11,266

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Solution

The third proportional to 8,297 and 11,266 is: 15,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297 : 11,266 = 11,266 : x
  2. Step 2: Convert to fraction form
    8,297/11,266 = 11,266/x
  3. Step 3: Cross multiply
    8,297x = 11,266 × 11,266
  4. Step 4: Simplify right side
    8,297x = 126,922,756
  5. Step 5: Solve for x
    x = 126,922,756/8,297
  6. Step 6: Final answer
    x = 15,297.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.