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Finding the Third Proportional to 20,224.69 and 32,496.19

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Solution

The third proportional to 20,224.69 and 32,496.19 is: 52,213.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.69 : 32,496.19 = 32,496.19 : x
  2. Step 2: Convert to fraction form
    20,224.69/32,496.19 = 32,496.19/x
  3. Step 3: Cross multiply
    20,224.69x = 32,496.19 × 32,496.19
  4. Step 4: Simplify right side
    20,224.69x = 1,056,002,202.04
  5. Step 5: Solve for x
    x = 1,056,002,202.04/20,224.69
  6. Step 6: Final answer
    x = 52,213.52

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.