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Finding the Third Proportional to 2,035.13 and 3,408.75

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Solution

The third proportional to 2,035.13 and 3,408.75 is: 5,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.13 : 3,408.75 = 3,408.75 : x
  2. Step 2: Convert to fraction form
    2,035.13/3,408.75 = 3,408.75/x
  3. Step 3: Cross multiply
    2,035.13x = 3,408.75 × 3,408.75
  4. Step 4: Simplify right side
    2,035.13x = 11,619,576.56
  5. Step 5: Solve for x
    x = 11,619,576.56/2,035.13
  6. Step 6: Final answer
    x = 5,709.51

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.