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Finding the Third Proportional to 10,329 and 22,375

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Solution

The third proportional to 10,329 and 22,375 is: 48,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329 : 22,375 = 22,375 : x
  2. Step 2: Convert to fraction form
    10,329/22,375 = 22,375/x
  3. Step 3: Cross multiply
    10,329x = 22,375 × 22,375
  4. Step 4: Simplify right side
    10,329x = 500,640,625
  5. Step 5: Solve for x
    x = 500,640,625/10,329
  6. Step 6: Final answer
    x = 48,469.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.