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Finding the Third Proportional to 32,331 and 43,150

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Solution

The third proportional to 32,331 and 43,150 is: 57,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,331 : 43,150 = 43,150 : x
  2. Step 2: Convert to fraction form
    32,331/43,150 = 43,150/x
  3. Step 3: Cross multiply
    32,331x = 43,150 × 43,150
  4. Step 4: Simplify right side
    32,331x = 1,861,922,500
  5. Step 5: Solve for x
    x = 1,861,922,500/32,331
  6. Step 6: Final answer
    x = 57,589.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.