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Finding the Third Proportional to 3,375 and 4,672.69

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Solution

The third proportional to 3,375 and 4,672.69 is: 6,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375 : 4,672.69 = 4,672.69 : x
  2. Step 2: Convert to fraction form
    3,375/4,672.69 = 4,672.69/x
  3. Step 3: Cross multiply
    3,375x = 4,672.69 × 4,672.69
  4. Step 4: Simplify right side
    3,375x = 21,834,008.47
  5. Step 5: Solve for x
    x = 21,834,008.47/3,375
  6. Step 6: Final answer
    x = 6,469.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.