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Finding the Third Proportional to 2,108.06 and 3,257.06

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Solution

The third proportional to 2,108.06 and 3,257.06 is: 5,032.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.06 : 3,257.06 = 3,257.06 : x
  2. Step 2: Convert to fraction form
    2,108.06/3,257.06 = 3,257.06/x
  3. Step 3: Cross multiply
    2,108.06x = 3,257.06 × 3,257.06
  4. Step 4: Simplify right side
    2,108.06x = 10,608,456.13
  5. Step 5: Solve for x
    x = 10,608,456.13/2,108.06
  6. Step 6: Final answer
    x = 5,032.33

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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.