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Finding the Third Proportional to 30,773.25 and 50,245.31

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Solution

The third proportional to 30,773.25 and 50,245.31 is: 82,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,773.25 : 50,245.31 = 50,245.31 : x
  2. Step 2: Convert to fraction form
    30,773.25/50,245.31 = 50,245.31/x
  3. Step 3: Cross multiply
    30,773.25x = 50,245.31 × 50,245.31
  4. Step 4: Simplify right side
    30,773.25x = 2,524,591,428.22
  5. Step 5: Solve for x
    x = 2,524,591,428.22/30,773.25
  6. Step 6: Final answer
    x = 82,038.51

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.