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Finding the Third Proportional to 3,357 and 5,910.75

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Solution

The third proportional to 3,357 and 5,910.75 is: 10,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357 : 5,910.75 = 5,910.75 : x
  2. Step 2: Convert to fraction form
    3,357/5,910.75 = 5,910.75/x
  3. Step 3: Cross multiply
    3,357x = 5,910.75 × 5,910.75
  4. Step 4: Simplify right side
    3,357x = 34,936,965.56
  5. Step 5: Solve for x
    x = 34,936,965.56/3,357
  6. Step 6: Final answer
    x = 10,407.20

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.