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Finding the Third Proportional to 20,314.25 and 31,392.75

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Solution

The third proportional to 20,314.25 and 31,392.75 is: 48,512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,314.25 : 31,392.75 = 31,392.75 : x
  2. Step 2: Convert to fraction form
    20,314.25/31,392.75 = 31,392.75/x
  3. Step 3: Cross multiply
    20,314.25x = 31,392.75 × 31,392.75
  4. Step 4: Simplify right side
    20,314.25x = 985,504,752.56
  5. Step 5: Solve for x
    x = 985,504,752.56/20,314.25
  6. Step 6: Final answer
    x = 48,512.98

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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.