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Finding the Third Proportional to 20,227.88 and 31,406.75

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Solution

The third proportional to 20,227.88 and 31,406.75 is: 48,763.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,227.88 : 31,406.75 = 31,406.75 : x
  2. Step 2: Convert to fraction form
    20,227.88/31,406.75 = 31,406.75/x
  3. Step 3: Cross multiply
    20,227.88x = 31,406.75 × 31,406.75
  4. Step 4: Simplify right side
    20,227.88x = 986,383,945.56
  5. Step 5: Solve for x
    x = 986,383,945.56/20,227.88
  6. Step 6: Final answer
    x = 48,763.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.