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Finding the Third Proportional to 40,331 and 60,427

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Solution

The third proportional to 40,331 and 60,427 is: 90,536.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,331 : 60,427 = 60,427 : x
  2. Step 2: Convert to fraction form
    40,331/60,427 = 60,427/x
  3. Step 3: Cross multiply
    40,331x = 60,427 × 60,427
  4. Step 4: Simplify right side
    40,331x = 3,651,422,329
  5. Step 5: Solve for x
    x = 3,651,422,329/40,331
  6. Step 6: Final answer
    x = 90,536.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.