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Finding the Third Proportional to 3,272.75 and 7,271

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Solution

The third proportional to 3,272.75 and 7,271 is: 16,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.75 : 7,271 = 7,271 : x
  2. Step 2: Convert to fraction form
    3,272.75/7,271 = 7,271/x
  3. Step 3: Cross multiply
    3,272.75x = 7,271 × 7,271
  4. Step 4: Simplify right side
    3,272.75x = 52,867,441
  5. Step 5: Solve for x
    x = 52,867,441/3,272.75
  6. Step 6: Final answer
    x = 16,153.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.