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Finding the Third Proportional to 12,394.69 and 19,198.69

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Solution

The third proportional to 12,394.69 and 19,198.69 is: 29,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.69 : 19,198.69 = 19,198.69 : x
  2. Step 2: Convert to fraction form
    12,394.69/19,198.69 = 19,198.69/x
  3. Step 3: Cross multiply
    12,394.69x = 19,198.69 × 19,198.69
  4. Step 4: Simplify right side
    12,394.69x = 368,589,601.72
  5. Step 5: Solve for x
    x = 368,589,601.72/12,394.69
  6. Step 6: Final answer
    x = 29,737.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.