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Finding the Third Proportional to 29,401 and 44,375

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Solution

The third proportional to 29,401 and 44,375 is: 66,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,401 : 44,375 = 44,375 : x
  2. Step 2: Convert to fraction form
    29,401/44,375 = 44,375/x
  3. Step 3: Cross multiply
    29,401x = 44,375 × 44,375
  4. Step 4: Simplify right side
    29,401x = 1,969,140,625
  5. Step 5: Solve for x
    x = 1,969,140,625/29,401
  6. Step 6: Final answer
    x = 66,975.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.