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Finding the Third Proportional to 8,067.94 and 12,463.03

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Solution

The third proportional to 8,067.94 and 12,463.03 is: 19,252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.94 : 12,463.03 = 12,463.03 : x
  2. Step 2: Convert to fraction form
    8,067.94/12,463.03 = 12,463.03/x
  3. Step 3: Cross multiply
    8,067.94x = 12,463.03 × 12,463.03
  4. Step 4: Simplify right side
    8,067.94x = 155,327,147.94
  5. Step 5: Solve for x
    x = 155,327,147.94/8,067.94
  6. Step 6: Final answer
    x = 19,252.40

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.