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Finding the Third Proportional to 20,584.50 and 41,896.50

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Solution

The third proportional to 20,584.50 and 41,896.50 is: 85,273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584.50 : 41,896.50 = 41,896.50 : x
  2. Step 2: Convert to fraction form
    20,584.50/41,896.50 = 41,896.50/x
  3. Step 3: Cross multiply
    20,584.50x = 41,896.50 × 41,896.50
  4. Step 4: Simplify right side
    20,584.50x = 1,755,316,712.25
  5. Step 5: Solve for x
    x = 1,755,316,712.25/20,584.50
  6. Step 6: Final answer
    x = 85,273.71

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.