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Finding the Third Proportional to 40,013 and 58,375

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Solution

The third proportional to 40,013 and 58,375 is: 85,163.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,013 : 58,375 = 58,375 : x
  2. Step 2: Convert to fraction form
    40,013/58,375 = 58,375/x
  3. Step 3: Cross multiply
    40,013x = 58,375 × 58,375
  4. Step 4: Simplify right side
    40,013x = 3,407,640,625
  5. Step 5: Solve for x
    x = 3,407,640,625/40,013
  6. Step 6: Final answer
    x = 85,163.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.