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Finding the Third Proportional to 19,954.31 and 43,022.91

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Solution

The third proportional to 19,954.31 and 43,022.91 is: 92,760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,954.31 : 43,022.91 = 43,022.91 : x
  2. Step 2: Convert to fraction form
    19,954.31/43,022.91 = 43,022.91/x
  3. Step 3: Cross multiply
    19,954.31x = 43,022.91 × 43,022.91
  4. Step 4: Simplify right side
    19,954.31x = 1,850,970,462.20
  5. Step 5: Solve for x
    x = 1,850,970,462.20/19,954.31
  6. Step 6: Final answer
    x = 92,760.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.