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Finding the Third Proportional to 3,211 and 3,521

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Solution

The third proportional to 3,211 and 3,521 is: 3,860.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211 : 3,521 = 3,521 : x
  2. Step 2: Convert to fraction form
    3,211/3,521 = 3,521/x
  3. Step 3: Cross multiply
    3,211x = 3,521 × 3,521
  4. Step 4: Simplify right side
    3,211x = 12,397,441
  5. Step 5: Solve for x
    x = 12,397,441/3,211
  6. Step 6: Final answer
    x = 3,860.93

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