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Finding the Third Proportional to 939.38 and 2,234.25

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Solution

The third proportional to 939.38 and 2,234.25 is: 5,314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.38 : 2,234.25 = 2,234.25 : x
  2. Step 2: Convert to fraction form
    939.38/2,234.25 = 2,234.25/x
  3. Step 3: Cross multiply
    939.38x = 2,234.25 × 2,234.25
  4. Step 4: Simplify right side
    939.38x = 4,991,873.06
  5. Step 5: Solve for x
    x = 4,991,873.06/939.38
  6. Step 6: Final answer
    x = 5,314.04

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.