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Finding the Third Proportional to 937.12 and 2,169.44

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Solution

The third proportional to 937.12 and 2,169.44 is: 5,022.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.12 : 2,169.44 = 2,169.44 : x
  2. Step 2: Convert to fraction form
    937.12/2,169.44 = 2,169.44/x
  3. Step 3: Cross multiply
    937.12x = 2,169.44 × 2,169.44
  4. Step 4: Simplify right side
    937.12x = 4,706,467.54
  5. Step 5: Solve for x
    x = 4,706,467.54/937.12
  6. Step 6: Final answer
    x = 5,022.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.