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Finding the Third Proportional to 8,243.96 and 18,025.66

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Solution

The third proportional to 8,243.96 and 18,025.66 is: 39,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.96 : 18,025.66 = 18,025.66 : x
  2. Step 2: Convert to fraction form
    8,243.96/18,025.66 = 18,025.66/x
  3. Step 3: Cross multiply
    8,243.96x = 18,025.66 × 18,025.66
  4. Step 4: Simplify right side
    8,243.96x = 324,924,564.89
  5. Step 5: Solve for x
    x = 324,924,564.89/8,243.96
  6. Step 6: Final answer
    x = 39,413.63

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Why These Related Problems?

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