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Finding the Third Proportional to 30,754.97 and 50,219.72

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Solution

The third proportional to 30,754.97 and 50,219.72 is: 82,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,754.97 : 50,219.72 = 50,219.72 : x
  2. Step 2: Convert to fraction form
    30,754.97/50,219.72 = 50,219.72/x
  3. Step 3: Cross multiply
    30,754.97x = 50,219.72 × 50,219.72
  4. Step 4: Simplify right side
    30,754.97x = 2,522,020,151.33
  5. Step 5: Solve for x
    x = 2,522,020,151.33/30,754.97
  6. Step 6: Final answer
    x = 82,003.66

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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.