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Finding the Third Proportional to 2,091.89 and 3,239.11

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Solution

The third proportional to 2,091.89 and 3,239.11 is: 5,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.89 : 3,239.11 = 3,239.11 : x
  2. Step 2: Convert to fraction form
    2,091.89/3,239.11 = 3,239.11/x
  3. Step 3: Cross multiply
    2,091.89x = 3,239.11 × 3,239.11
  4. Step 4: Simplify right side
    2,091.89x = 10,491,829.54
  5. Step 5: Solve for x
    x = 10,491,829.54/2,091.89
  6. Step 6: Final answer
    x = 5,015.48

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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.