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Finding the Third Proportional to 1,806.09 and 3,942.94

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Solution

The third proportional to 1,806.09 and 3,942.94 is: 8,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.09 : 3,942.94 = 3,942.94 : x
  2. Step 2: Convert to fraction form
    1,806.09/3,942.94 = 3,942.94/x
  3. Step 3: Cross multiply
    1,806.09x = 3,942.94 × 3,942.94
  4. Step 4: Simplify right side
    1,806.09x = 15,546,756.13
  5. Step 5: Solve for x
    x = 15,546,756.13/1,806.09
  6. Step 6: Final answer
    x = 8,607.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.