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Finding the Third Proportional to 1,578.94 and 3,323.81

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Solution

The third proportional to 1,578.94 and 3,323.81 is: 6,996.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.94 : 3,323.81 = 3,323.81 : x
  2. Step 2: Convert to fraction form
    1,578.94/3,323.81 = 3,323.81/x
  3. Step 3: Cross multiply
    1,578.94x = 3,323.81 × 3,323.81
  4. Step 4: Simplify right side
    1,578.94x = 11,047,729.54
  5. Step 5: Solve for x
    x = 11,047,729.54/1,578.94
  6. Step 6: Final answer
    x = 6,996.94

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.