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Finding the Third Proportional to 3,462 and 7,266

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Solution

The third proportional to 3,462 and 7,266 is: 15,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462 : 7,266 = 7,266 : x
  2. Step 2: Convert to fraction form
    3,462/7,266 = 7,266/x
  3. Step 3: Cross multiply
    3,462x = 7,266 × 7,266
  4. Step 4: Simplify right side
    3,462x = 52,794,756
  5. Step 5: Solve for x
    x = 52,794,756/3,462
  6. Step 6: Final answer
    x = 15,249.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.