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Finding the Third Proportional to 3,203.30 and 5,738.34

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Solution

The third proportional to 3,203.30 and 5,738.34 is: 10,279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.30 : 5,738.34 = 5,738.34 : x
  2. Step 2: Convert to fraction form
    3,203.30/5,738.34 = 5,738.34/x
  3. Step 3: Cross multiply
    3,203.30x = 5,738.34 × 5,738.34
  4. Step 4: Simplify right side
    3,203.30x = 32,928,588.99
  5. Step 5: Solve for x
    x = 32,928,588.99/3,203.30
  6. Step 6: Final answer
    x = 10,279.59

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.