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Finding the Third Proportional to 20,825.25 and 32,255.63

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Solution

The third proportional to 20,825.25 and 32,255.63 is: 49,959.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,825.25 : 32,255.63 = 32,255.63 : x
  2. Step 2: Convert to fraction form
    20,825.25/32,255.63 = 32,255.63/x
  3. Step 3: Cross multiply
    20,825.25x = 32,255.63 × 32,255.63
  4. Step 4: Simplify right side
    20,825.25x = 1,040,425,344.14
  5. Step 5: Solve for x
    x = 1,040,425,344.14/20,825.25
  6. Step 6: Final answer
    x = 49,959.80

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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.