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Finding the Third Proportional to 3,001 and 3,277

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Solution

The third proportional to 3,001 and 3,277 is: 3,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001 : 3,277 = 3,277 : x
  2. Step 2: Convert to fraction form
    3,001/3,277 = 3,277/x
  3. Step 3: Cross multiply
    3,001x = 3,277 × 3,277
  4. Step 4: Simplify right side
    3,001x = 10,738,729
  5. Step 5: Solve for x
    x = 10,738,729/3,001
  6. Step 6: Final answer
    x = 3,578.38

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.