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Finding the Third Proportional to 30,327.75 and 50,108.63

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Solution

The third proportional to 30,327.75 and 50,108.63 is: 82,791.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,327.75 : 50,108.63 = 50,108.63 : x
  2. Step 2: Convert to fraction form
    30,327.75/50,108.63 = 50,108.63/x
  3. Step 3: Cross multiply
    30,327.75x = 50,108.63 × 50,108.63
  4. Step 4: Simplify right side
    30,327.75x = 2,510,874,299.39
  5. Step 5: Solve for x
    x = 2,510,874,299.39/30,327.75
  6. Step 6: Final answer
    x = 82,791.31

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.