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Finding the Third Proportional to 8,578.41 and 12,866.34

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Solution

The third proportional to 8,578.41 and 12,866.34 is: 19,297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.41 : 12,866.34 = 12,866.34 : x
  2. Step 2: Convert to fraction form
    8,578.41/12,866.34 = 12,866.34/x
  3. Step 3: Cross multiply
    8,578.41x = 12,866.34 × 12,866.34
  4. Step 4: Simplify right side
    8,578.41x = 165,542,801.49
  5. Step 5: Solve for x
    x = 165,542,801.49/8,578.41
  6. Step 6: Final answer
    x = 19,297.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.