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Finding the Third Proportional to 951.33 and 2,203.03

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Solution

The third proportional to 951.33 and 2,203.03 is: 5,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.33 : 2,203.03 = 2,203.03 : x
  2. Step 2: Convert to fraction form
    951.33/2,203.03 = 2,203.03/x
  3. Step 3: Cross multiply
    951.33x = 2,203.03 × 2,203.03
  4. Step 4: Simplify right side
    951.33x = 4,853,346.69
  5. Step 5: Solve for x
    x = 4,853,346.69/951.33
  6. Step 6: Final answer
    x = 5,101.65

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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.