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Finding the Third Proportional to 6,297.75 and 7,067.25

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Solution

The third proportional to 6,297.75 and 7,067.25 is: 7,930.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.75 : 7,067.25 = 7,067.25 : x
  2. Step 2: Convert to fraction form
    6,297.75/7,067.25 = 7,067.25/x
  3. Step 3: Cross multiply
    6,297.75x = 7,067.25 × 7,067.25
  4. Step 4: Simplify right side
    6,297.75x = 49,946,022.56
  5. Step 5: Solve for x
    x = 49,946,022.56/6,297.75
  6. Step 6: Final answer
    x = 7,930.77

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.