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Finding the Third Proportional to 3,021.75 and 6,211.13

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Solution

The third proportional to 3,021.75 and 6,211.13 is: 12,766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.75 : 6,211.13 = 6,211.13 : x
  2. Step 2: Convert to fraction form
    3,021.75/6,211.13 = 6,211.13/x
  3. Step 3: Cross multiply
    3,021.75x = 6,211.13 × 6,211.13
  4. Step 4: Simplify right side
    3,021.75x = 38,578,073.77
  5. Step 5: Solve for x
    x = 38,578,073.77/3,021.75
  6. Step 6: Final answer
    x = 12,766.80

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.