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Finding the Third Proportional to 3,206 and 3,494

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Solution

The third proportional to 3,206 and 3,494 is: 3,807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206 : 3,494 = 3,494 : x
  2. Step 2: Convert to fraction form
    3,206/3,494 = 3,494/x
  3. Step 3: Cross multiply
    3,206x = 3,494 × 3,494
  4. Step 4: Simplify right side
    3,206x = 12,208,036
  5. Step 5: Solve for x
    x = 12,208,036/3,206
  6. Step 6: Final answer
    x = 3,807.87

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.