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Finding the Third Proportional to 2,797.88 and 3,922.03

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Solution

The third proportional to 2,797.88 and 3,922.03 is: 5,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.88 : 3,922.03 = 3,922.03 : x
  2. Step 2: Convert to fraction form
    2,797.88/3,922.03 = 3,922.03/x
  3. Step 3: Cross multiply
    2,797.88x = 3,922.03 × 3,922.03
  4. Step 4: Simplify right side
    2,797.88x = 15,382,329.13
  5. Step 5: Solve for x
    x = 15,382,329.13/2,797.88
  6. Step 6: Final answer
    x = 5,497.86

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