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Finding the Third Proportional to 20,851.25 and 32,334.75

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Solution

The third proportional to 20,851.25 and 32,334.75 is: 50,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851.25 : 32,334.75 = 32,334.75 : x
  2. Step 2: Convert to fraction form
    20,851.25/32,334.75 = 32,334.75/x
  3. Step 3: Cross multiply
    20,851.25x = 32,334.75 × 32,334.75
  4. Step 4: Simplify right side
    20,851.25x = 1,045,536,057.56
  5. Step 5: Solve for x
    x = 1,045,536,057.56/20,851.25
  6. Step 6: Final answer
    x = 50,142.61

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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.