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Finding the Third Proportional to 2,269 and 4,162

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Solution

The third proportional to 2,269 and 4,162 is: 7,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269 : 4,162 = 4,162 : x
  2. Step 2: Convert to fraction form
    2,269/4,162 = 4,162/x
  3. Step 3: Cross multiply
    2,269x = 4,162 × 4,162
  4. Step 4: Simplify right side
    2,269x = 17,322,244
  5. Step 5: Solve for x
    x = 17,322,244/2,269
  6. Step 6: Final answer
    x = 7,634.31

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.