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Finding the Third Proportional to 2,822 and 3,206

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Solution

The third proportional to 2,822 and 3,206 is: 3,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822 : 3,206 = 3,206 : x
  2. Step 2: Convert to fraction form
    2,822/3,206 = 3,206/x
  3. Step 3: Cross multiply
    2,822x = 3,206 × 3,206
  4. Step 4: Simplify right side
    2,822x = 10,278,436
  5. Step 5: Solve for x
    x = 10,278,436/2,822
  6. Step 6: Final answer
    x = 3,642.25

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.