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Finding the Third Proportional to 2,408.91 and 3,739.92

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Solution

The third proportional to 2,408.91 and 3,739.92 is: 5,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.91 : 3,739.92 = 3,739.92 : x
  2. Step 2: Convert to fraction form
    2,408.91/3,739.92 = 3,739.92/x
  3. Step 3: Cross multiply
    2,408.91x = 3,739.92 × 3,739.92
  4. Step 4: Simplify right side
    2,408.91x = 13,987,015.63
  5. Step 5: Solve for x
    x = 13,987,015.63/2,408.91
  6. Step 6: Final answer
    x = 5,806.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.