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Finding the Third Proportional to 748.25 and 1,747.75

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Solution

The third proportional to 748.25 and 1,747.75 is: 4,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.25 : 1,747.75 = 1,747.75 : x
  2. Step 2: Convert to fraction form
    748.25/1,747.75 = 1,747.75/x
  3. Step 3: Cross multiply
    748.25x = 1,747.75 × 1,747.75
  4. Step 4: Simplify right side
    748.25x = 3,054,630.06
  5. Step 5: Solve for x
    x = 3,054,630.06/748.25
  6. Step 6: Final answer
    x = 4,082.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.