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Finding the Third Proportional to 20,194.31 and 33,539.81

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Solution

The third proportional to 20,194.31 and 33,539.81 is: 55,704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.31 : 33,539.81 = 33,539.81 : x
  2. Step 2: Convert to fraction form
    20,194.31/33,539.81 = 33,539.81/x
  3. Step 3: Cross multiply
    20,194.31x = 33,539.81 × 33,539.81
  4. Step 4: Simplify right side
    20,194.31x = 1,124,919,022.54
  5. Step 5: Solve for x
    x = 1,124,919,022.54/20,194.31
  6. Step 6: Final answer
    x = 55,704.74

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.