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Finding the Third Proportional to 2,083.69 and 3,230.44

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Solution

The third proportional to 2,083.69 and 3,230.44 is: 5,008.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.69 : 3,230.44 = 3,230.44 : x
  2. Step 2: Convert to fraction form
    2,083.69/3,230.44 = 3,230.44/x
  3. Step 3: Cross multiply
    2,083.69x = 3,230.44 × 3,230.44
  4. Step 4: Simplify right side
    2,083.69x = 10,435,726.44
  5. Step 5: Solve for x
    x = 10,435,726.44/2,083.69
  6. Step 6: Final answer
    x = 5,008.30

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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.