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Finding the Third Proportional to 8,363.57 and 12,942.60

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Solution

The third proportional to 8,363.57 and 12,942.60 is: 20,028.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.57 : 12,942.60 = 12,942.60 : x
  2. Step 2: Convert to fraction form
    8,363.57/12,942.60 = 12,942.60/x
  3. Step 3: Cross multiply
    8,363.57x = 12,942.60 × 12,942.60
  4. Step 4: Simplify right side
    8,363.57x = 167,510,834.09
  5. Step 5: Solve for x
    x = 167,510,834.09/8,363.57
  6. Step 6: Final answer
    x = 20,028.64

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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.