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Finding the Third Proportional to 2,279 and 3,310

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Solution

The third proportional to 2,279 and 3,310 is: 4,807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279 : 3,310 = 3,310 : x
  2. Step 2: Convert to fraction form
    2,279/3,310 = 3,310/x
  3. Step 3: Cross multiply
    2,279x = 3,310 × 3,310
  4. Step 4: Simplify right side
    2,279x = 10,956,100
  5. Step 5: Solve for x
    x = 10,956,100/2,279
  6. Step 6: Final answer
    x = 4,807.42

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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.