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Finding the Third Proportional to 2,690.44 and 3,789.75

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Solution

The third proportional to 2,690.44 and 3,789.75 is: 5,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.44 : 3,789.75 = 3,789.75 : x
  2. Step 2: Convert to fraction form
    2,690.44/3,789.75 = 3,789.75/x
  3. Step 3: Cross multiply
    2,690.44x = 3,789.75 × 3,789.75
  4. Step 4: Simplify right side
    2,690.44x = 14,362,205.06
  5. Step 5: Solve for x
    x = 14,362,205.06/2,690.44
  6. Step 6: Final answer
    x = 5,338.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.