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Finding the Third Proportional to 3,375 and 5,922

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Solution

The third proportional to 3,375 and 5,922 is: 10,391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375 : 5,922 = 5,922 : x
  2. Step 2: Convert to fraction form
    3,375/5,922 = 5,922/x
  3. Step 3: Cross multiply
    3,375x = 5,922 × 5,922
  4. Step 4: Simplify right side
    3,375x = 35,070,084
  5. Step 5: Solve for x
    x = 35,070,084/3,375
  6. Step 6: Final answer
    x = 10,391.14

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.