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Finding the Third Proportional to 3,226.31 and 7,067.63

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Solution

The third proportional to 3,226.31 and 7,067.63 is: 15,482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.31 : 7,067.63 = 7,067.63 : x
  2. Step 2: Convert to fraction form
    3,226.31/7,067.63 = 7,067.63/x
  3. Step 3: Cross multiply
    3,226.31x = 7,067.63 × 7,067.63
  4. Step 4: Simplify right side
    3,226.31x = 49,951,323.14
  5. Step 5: Solve for x
    x = 49,951,323.14/3,226.31
  6. Step 6: Final answer
    x = 15,482.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.