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Finding the Third Proportional to 11,734.03 and 24,439.22

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Solution

The third proportional to 11,734.03 and 24,439.22 is: 50,901.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734.03 : 24,439.22 = 24,439.22 : x
  2. Step 2: Convert to fraction form
    11,734.03/24,439.22 = 24,439.22/x
  3. Step 3: Cross multiply
    11,734.03x = 24,439.22 × 24,439.22
  4. Step 4: Simplify right side
    11,734.03x = 597,275,413.11
  5. Step 5: Solve for x
    x = 597,275,413.11/11,734.03
  6. Step 6: Final answer
    x = 50,901.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.