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Finding the Third Proportional to 2,108.69 and 3,208.60

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Solution

The third proportional to 2,108.69 and 3,208.60 is: 4,882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.69 : 3,208.60 = 3,208.60 : x
  2. Step 2: Convert to fraction form
    2,108.69/3,208.60 = 3,208.60/x
  3. Step 3: Cross multiply
    2,108.69x = 3,208.60 × 3,208.60
  4. Step 4: Simplify right side
    2,108.69x = 10,295,092.65
  5. Step 5: Solve for x
    x = 10,295,092.65/2,108.69
  6. Step 6: Final answer
    x = 4,882.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.