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Finding the Third Proportional to 937.75 and 2,269.25

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Solution

The third proportional to 937.75 and 2,269.25 is: 5,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.75 : 2,269.25 = 2,269.25 : x
  2. Step 2: Convert to fraction form
    937.75/2,269.25 = 2,269.25/x
  3. Step 3: Cross multiply
    937.75x = 2,269.25 × 2,269.25
  4. Step 4: Simplify right side
    937.75x = 5,149,495.56
  5. Step 5: Solve for x
    x = 5,149,495.56/937.75
  6. Step 6: Final answer
    x = 5,491.33

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.