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Finding the Third Proportional to 1,840.22 and 3,910.36

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Solution

The third proportional to 1,840.22 and 3,910.36 is: 8,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.22 : 3,910.36 = 3,910.36 : x
  2. Step 2: Convert to fraction form
    1,840.22/3,910.36 = 3,910.36/x
  3. Step 3: Cross multiply
    1,840.22x = 3,910.36 × 3,910.36
  4. Step 4: Simplify right side
    1,840.22x = 15,290,910.44
  5. Step 5: Solve for x
    x = 15,290,910.44/1,840.22
  6. Step 6: Final answer
    x = 8,309.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.