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Finding the Third Proportional to 20,803.50 and 31,974.75

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Solution

The third proportional to 20,803.50 and 31,974.75 is: 49,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.50 : 31,974.75 = 31,974.75 : x
  2. Step 2: Convert to fraction form
    20,803.50/31,974.75 = 31,974.75/x
  3. Step 3: Cross multiply
    20,803.50x = 31,974.75 × 31,974.75
  4. Step 4: Simplify right side
    20,803.50x = 1,022,384,637.56
  5. Step 5: Solve for x
    x = 1,022,384,637.56/20,803.50
  6. Step 6: Final answer
    x = 49,144.84

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.