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Finding the Third Proportional to 3,206 and 3,518

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Solution

The third proportional to 3,206 and 3,518 is: 3,860.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206 : 3,518 = 3,518 : x
  2. Step 2: Convert to fraction form
    3,206/3,518 = 3,518/x
  3. Step 3: Cross multiply
    3,206x = 3,518 × 3,518
  4. Step 4: Simplify right side
    3,206x = 12,376,324
  5. Step 5: Solve for x
    x = 12,376,324/3,206
  6. Step 6: Final answer
    x = 3,860.36

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.