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Finding the Third Proportional to 4,067.72 and 8,684.72

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Solution

The third proportional to 4,067.72 and 8,684.72 is: 18,542.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.72 : 8,684.72 = 8,684.72 : x
  2. Step 2: Convert to fraction form
    4,067.72/8,684.72 = 8,684.72/x
  3. Step 3: Cross multiply
    4,067.72x = 8,684.72 × 8,684.72
  4. Step 4: Simplify right side
    4,067.72x = 75,424,339.77
  5. Step 5: Solve for x
    x = 75,424,339.77/4,067.72
  6. Step 6: Final answer
    x = 18,542.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.