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Finding the Third Proportional to 33,078 and 49,925

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Solution

The third proportional to 33,078 and 49,925 is: 75,352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,078 : 49,925 = 49,925 : x
  2. Step 2: Convert to fraction form
    33,078/49,925 = 49,925/x
  3. Step 3: Cross multiply
    33,078x = 49,925 × 49,925
  4. Step 4: Simplify right side
    33,078x = 2,492,505,625
  5. Step 5: Solve for x
    x = 2,492,505,625/33,078
  6. Step 6: Final answer
    x = 75,352.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.