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Finding the Third Proportional to 1,443.94 and 2,196.31

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Solution

The third proportional to 1,443.94 and 2,196.31 is: 3,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.94 : 2,196.31 = 2,196.31 : x
  2. Step 2: Convert to fraction form
    1,443.94/2,196.31 = 2,196.31/x
  3. Step 3: Cross multiply
    1,443.94x = 2,196.31 × 2,196.31
  4. Step 4: Simplify right side
    1,443.94x = 4,823,788.60
  5. Step 5: Solve for x
    x = 4,823,788.60/1,443.94
  6. Step 6: Final answer
    x = 3,340.72

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.