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Finding the Third Proportional to 40,474 and 60,296

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Solution

The third proportional to 40,474 and 60,296 is: 89,825.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,474 : 60,296 = 60,296 : x
  2. Step 2: Convert to fraction form
    40,474/60,296 = 60,296/x
  3. Step 3: Cross multiply
    40,474x = 60,296 × 60,296
  4. Step 4: Simplify right side
    40,474x = 3,635,607,616
  5. Step 5: Solve for x
    x = 3,635,607,616/40,474
  6. Step 6: Final answer
    x = 89,825.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.