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Finding the Third Proportional to 2,190.06 and 3,400.44

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Solution

The third proportional to 2,190.06 and 3,400.44 is: 5,279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.06 : 3,400.44 = 3,400.44 : x
  2. Step 2: Convert to fraction form
    2,190.06/3,400.44 = 3,400.44/x
  3. Step 3: Cross multiply
    2,190.06x = 3,400.44 × 3,400.44
  4. Step 4: Simplify right side
    2,190.06x = 11,562,975.19
  5. Step 5: Solve for x
    x = 11,562,975.19/2,190.06
  6. Step 6: Final answer
    x = 5,279.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.