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Finding the Third Proportional to 1,791.28 and 2,155.78

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Solution

The third proportional to 1,791.28 and 2,155.78 is: 2,594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.28 : 2,155.78 = 2,155.78 : x
  2. Step 2: Convert to fraction form
    1,791.28/2,155.78 = 2,155.78/x
  3. Step 3: Cross multiply
    1,791.28x = 2,155.78 × 2,155.78
  4. Step 4: Simplify right side
    1,791.28x = 4,647,392.80
  5. Step 5: Solve for x
    x = 4,647,392.80/1,791.28
  6. Step 6: Final answer
    x = 2,594.45

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.