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Finding the Third Proportional to 2,796.40 and 3,919.96

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Solution

The third proportional to 2,796.40 and 3,919.96 is: 5,494.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.40 : 3,919.96 = 3,919.96 : x
  2. Step 2: Convert to fraction form
    2,796.40/3,919.96 = 3,919.96/x
  3. Step 3: Cross multiply
    2,796.40x = 3,919.96 × 3,919.96
  4. Step 4: Simplify right side
    2,796.40x = 15,366,063.13
  5. Step 5: Solve for x
    x = 15,366,063.13/2,796.40
  6. Step 6: Final answer
    x = 5,494.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.