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Finding the Third Proportional to 937.69 and 2,034.42

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Solution

The third proportional to 937.69 and 2,034.42 is: 4,413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.69 : 2,034.42 = 2,034.42 : x
  2. Step 2: Convert to fraction form
    937.69/2,034.42 = 2,034.42/x
  3. Step 3: Cross multiply
    937.69x = 2,034.42 × 2,034.42
  4. Step 4: Simplify right side
    937.69x = 4,138,872.37
  5. Step 5: Solve for x
    x = 4,138,872.37/937.69
  6. Step 6: Final answer
    x = 4,413.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.