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Finding the Third Proportional to 40,986 and 60,093

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Solution

The third proportional to 40,986 and 60,093 is: 88,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,986 : 60,093 = 60,093 : x
  2. Step 2: Convert to fraction form
    40,986/60,093 = 60,093/x
  3. Step 3: Cross multiply
    40,986x = 60,093 × 60,093
  4. Step 4: Simplify right side
    40,986x = 3,611,168,649
  5. Step 5: Solve for x
    x = 3,611,168,649/40,986
  6. Step 6: Final answer
    x = 88,107.37

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.