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Finding the Third Proportional to 3,211 and 4,020

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Solution

The third proportional to 3,211 and 4,020 is: 5,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211 : 4,020 = 4,020 : x
  2. Step 2: Convert to fraction form
    3,211/4,020 = 4,020/x
  3. Step 3: Cross multiply
    3,211x = 4,020 × 4,020
  4. Step 4: Simplify right side
    3,211x = 16,160,400
  5. Step 5: Solve for x
    x = 16,160,400/3,211
  6. Step 6: Final answer
    x = 5,032.82

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.