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Finding the Third Proportional to 20,121.75 and 42,842.25

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Solution

The third proportional to 20,121.75 and 42,842.25 is: 91,217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,121.75 : 42,842.25 = 42,842.25 : x
  2. Step 2: Convert to fraction form
    20,121.75/42,842.25 = 42,842.25/x
  3. Step 3: Cross multiply
    20,121.75x = 42,842.25 × 42,842.25
  4. Step 4: Simplify right side
    20,121.75x = 1,835,458,385.06
  5. Step 5: Solve for x
    x = 1,835,458,385.06/20,121.75
  6. Step 6: Final answer
    x = 91,217.63

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.