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Finding the Third Proportional to 3,067 and 4,782.75

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Solution

The third proportional to 3,067 and 4,782.75 is: 7,458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067 : 4,782.75 = 4,782.75 : x
  2. Step 2: Convert to fraction form
    3,067/4,782.75 = 4,782.75/x
  3. Step 3: Cross multiply
    3,067x = 4,782.75 × 4,782.75
  4. Step 4: Simplify right side
    3,067x = 22,874,697.56
  5. Step 5: Solve for x
    x = 22,874,697.56/3,067
  6. Step 6: Final answer
    x = 7,458.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.