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Finding the Third Proportional to 43,434 and 57,375

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Solution

The third proportional to 43,434 and 57,375 is: 75,790.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,434 : 57,375 = 57,375 : x
  2. Step 2: Convert to fraction form
    43,434/57,375 = 57,375/x
  3. Step 3: Cross multiply
    43,434x = 57,375 × 57,375
  4. Step 4: Simplify right side
    43,434x = 3,291,890,625
  5. Step 5: Solve for x
    x = 3,291,890,625/43,434
  6. Step 6: Final answer
    x = 75,790.64

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.