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Finding the Third Proportional to 2,960 and 4,279

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Solution

The third proportional to 2,960 and 4,279 is: 6,185.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960 : 4,279 = 4,279 : x
  2. Step 2: Convert to fraction form
    2,960/4,279 = 4,279/x
  3. Step 3: Cross multiply
    2,960x = 4,279 × 4,279
  4. Step 4: Simplify right side
    2,960x = 18,309,841
  5. Step 5: Solve for x
    x = 18,309,841/2,960
  6. Step 6: Final answer
    x = 6,185.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.