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Finding the Third Proportional to 19,033.31 and 41,863.50

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Solution

The third proportional to 19,033.31 and 41,863.50 is: 92,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,033.31 : 41,863.50 = 41,863.50 : x
  2. Step 2: Convert to fraction form
    19,033.31/41,863.50 = 41,863.50/x
  3. Step 3: Cross multiply
    19,033.31x = 41,863.50 × 41,863.50
  4. Step 4: Simplify right side
    19,033.31x = 1,752,552,632.25
  5. Step 5: Solve for x
    x = 1,752,552,632.25/19,033.31
  6. Step 6: Final answer
    x = 92,078.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.