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Finding the Third Proportional to 20,865.73 and 45,729.56

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Solution

The third proportional to 20,865.73 and 45,729.56 is: 100,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,865.73 : 45,729.56 = 45,729.56 : x
  2. Step 2: Convert to fraction form
    20,865.73/45,729.56 = 45,729.56/x
  3. Step 3: Cross multiply
    20,865.73x = 45,729.56 × 45,729.56
  4. Step 4: Simplify right side
    20,865.73x = 2,091,192,886.44
  5. Step 5: Solve for x
    x = 2,091,192,886.44/20,865.73
  6. Step 6: Final answer
    x = 100,221.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.