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Finding the Third Proportional to 20,324.25 and 41,944.50

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Solution

The third proportional to 20,324.25 and 41,944.50 is: 86,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,324.25 : 41,944.50 = 41,944.50 : x
  2. Step 2: Convert to fraction form
    20,324.25/41,944.50 = 41,944.50/x
  3. Step 3: Cross multiply
    20,324.25x = 41,944.50 × 41,944.50
  4. Step 4: Simplify right side
    20,324.25x = 1,759,341,080.25
  5. Step 5: Solve for x
    x = 1,759,341,080.25/20,324.25
  6. Step 6: Final answer
    x = 86,563.64

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.