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Finding the Third Proportional to 2,067.75 and 3,804.75

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Solution

The third proportional to 2,067.75 and 3,804.75 is: 7,000.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.75 : 3,804.75 = 3,804.75 : x
  2. Step 2: Convert to fraction form
    2,067.75/3,804.75 = 3,804.75/x
  3. Step 3: Cross multiply
    2,067.75x = 3,804.75 × 3,804.75
  4. Step 4: Simplify right side
    2,067.75x = 14,476,122.56
  5. Step 5: Solve for x
    x = 14,476,122.56/2,067.75
  6. Step 6: Final answer
    x = 7,000.91

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.