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Finding the Third Proportional to 20,093.06 and 30,321.84

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Solution

The third proportional to 20,093.06 and 30,321.84 is: 45,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,093.06 : 30,321.84 = 30,321.84 : x
  2. Step 2: Convert to fraction form
    20,093.06/30,321.84 = 30,321.84/x
  3. Step 3: Cross multiply
    20,093.06x = 30,321.84 × 30,321.84
  4. Step 4: Simplify right side
    20,093.06x = 919,414,208.40
  5. Step 5: Solve for x
    x = 919,414,208.40/20,093.06
  6. Step 6: Final answer
    x = 45,757.79

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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.