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Finding the Third Proportional to 9,683.25 and 13,067.25

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Solution

The third proportional to 9,683.25 and 13,067.25 is: 17,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.25 : 13,067.25 = 13,067.25 : x
  2. Step 2: Convert to fraction form
    9,683.25/13,067.25 = 13,067.25/x
  3. Step 3: Cross multiply
    9,683.25x = 13,067.25 × 13,067.25
  4. Step 4: Simplify right side
    9,683.25x = 170,753,022.56
  5. Step 5: Solve for x
    x = 170,753,022.56/9,683.25
  6. Step 6: Final answer
    x = 17,633.85

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.