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Finding the Third Proportional to 2,211.05 and 3,393.77

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Solution

The third proportional to 2,211.05 and 3,393.77 is: 5,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.05 : 3,393.77 = 3,393.77 : x
  2. Step 2: Convert to fraction form
    2,211.05/3,393.77 = 3,393.77/x
  3. Step 3: Cross multiply
    2,211.05x = 3,393.77 × 3,393.77
  4. Step 4: Simplify right side
    2,211.05x = 11,517,698.15
  5. Step 5: Solve for x
    x = 11,517,698.15/2,211.05
  6. Step 6: Final answer
    x = 5,209.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.