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Finding the Third Proportional to 19,627.31 and 42,231.38

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Solution

The third proportional to 19,627.31 and 42,231.38 is: 90,867.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,627.31 : 42,231.38 = 42,231.38 : x
  2. Step 2: Convert to fraction form
    19,627.31/42,231.38 = 42,231.38/x
  3. Step 3: Cross multiply
    19,627.31x = 42,231.38 × 42,231.38
  4. Step 4: Simplify right side
    19,627.31x = 1,783,489,034.39
  5. Step 5: Solve for x
    x = 1,783,489,034.39/19,627.31
  6. Step 6: Final answer
    x = 90,867.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.