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Finding the Third Proportional to 19,902.75 and 41,965.50

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Solution

The third proportional to 19,902.75 and 41,965.50 is: 88,485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.75 : 41,965.50 = 41,965.50 : x
  2. Step 2: Convert to fraction form
    19,902.75/41,965.50 = 41,965.50/x
  3. Step 3: Cross multiply
    19,902.75x = 41,965.50 × 41,965.50
  4. Step 4: Simplify right side
    19,902.75x = 1,761,103,190.25
  5. Step 5: Solve for x
    x = 1,761,103,190.25/19,902.75
  6. Step 6: Final answer
    x = 88,485.42

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.