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Finding the Third Proportional to 20,272.50 and 41,028.75

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Solution

The third proportional to 20,272.50 and 41,028.75 is: 83,036.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,272.50 : 41,028.75 = 41,028.75 : x
  2. Step 2: Convert to fraction form
    20,272.50/41,028.75 = 41,028.75/x
  3. Step 3: Cross multiply
    20,272.50x = 41,028.75 × 41,028.75
  4. Step 4: Simplify right side
    20,272.50x = 1,683,358,326.56
  5. Step 5: Solve for x
    x = 1,683,358,326.56/20,272.50
  6. Step 6: Final answer
    x = 83,036.54

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.