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Finding the Third Proportional to 19,198.69 and 39,930.47

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Solution

The third proportional to 19,198.69 and 39,930.47 is: 83,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,198.69 : 39,930.47 = 39,930.47 : x
  2. Step 2: Convert to fraction form
    19,198.69/39,930.47 = 39,930.47/x
  3. Step 3: Cross multiply
    19,198.69x = 39,930.47 × 39,930.47
  4. Step 4: Simplify right side
    19,198.69x = 1,594,442,334.59
  5. Step 5: Solve for x
    x = 1,594,442,334.59/19,198.69
  6. Step 6: Final answer
    x = 83,049.55

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.