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Finding the Third Proportional to 20,760.50 and 31,356.75

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Solution

The third proportional to 20,760.50 and 31,356.75 is: 47,361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,760.50 : 31,356.75 = 31,356.75 : x
  2. Step 2: Convert to fraction form
    20,760.50/31,356.75 = 31,356.75/x
  3. Step 3: Cross multiply
    20,760.50x = 31,356.75 × 31,356.75
  4. Step 4: Simplify right side
    20,760.50x = 983,245,770.56
  5. Step 5: Solve for x
    x = 983,245,770.56/20,760.50
  6. Step 6: Final answer
    x = 47,361.37

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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.