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Finding the Third Proportional to 3,200 and 3,512

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Solution

The third proportional to 3,200 and 3,512 is: 3,854.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200 : 3,512 = 3,512 : x
  2. Step 2: Convert to fraction form
    3,200/3,512 = 3,512/x
  3. Step 3: Cross multiply
    3,200x = 3,512 × 3,512
  4. Step 4: Simplify right side
    3,200x = 12,334,144
  5. Step 5: Solve for x
    x = 12,334,144/3,200
  6. Step 6: Final answer
    x = 3,854.42

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.