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Finding the Third Proportional to 3,530 and 5,408

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Solution

The third proportional to 3,530 and 5,408 is: 8,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530 : 5,408 = 5,408 : x
  2. Step 2: Convert to fraction form
    3,530/5,408 = 5,408/x
  3. Step 3: Cross multiply
    3,530x = 5,408 × 5,408
  4. Step 4: Simplify right side
    3,530x = 29,246,464
  5. Step 5: Solve for x
    x = 29,246,464/3,530
  6. Step 6: Final answer
    x = 8,285.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.