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Finding the Third Proportional to 74,004.50 and 81,517.50

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Solution

The third proportional to 74,004.50 and 81,517.50 is: 89,793.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,004.50 : 81,517.50 = 81,517.50 : x
  2. Step 2: Convert to fraction form
    74,004.50/81,517.50 = 81,517.50/x
  3. Step 3: Cross multiply
    74,004.50x = 81,517.50 × 81,517.50
  4. Step 4: Simplify right side
    74,004.50x = 6,645,102,806.25
  5. Step 5: Solve for x
    x = 6,645,102,806.25/74,004.50
  6. Step 6: Final answer
    x = 89,793.23

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.