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Finding the Third Proportional to 2,206 and 3,463

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Solution

The third proportional to 2,206 and 3,463 is: 5,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206 : 3,463 = 3,463 : x
  2. Step 2: Convert to fraction form
    2,206/3,463 = 3,463/x
  3. Step 3: Cross multiply
    2,206x = 3,463 × 3,463
  4. Step 4: Simplify right side
    2,206x = 11,992,369
  5. Step 5: Solve for x
    x = 11,992,369/2,206
  6. Step 6: Final answer
    x = 5,436.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.