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Finding the Third Proportional to 4,413.23 and 9,023.91

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Solution

The third proportional to 4,413.23 and 9,023.91 is: 18,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,413.23 : 9,023.91 = 9,023.91 : x
  2. Step 2: Convert to fraction form
    4,413.23/9,023.91 = 9,023.91/x
  3. Step 3: Cross multiply
    4,413.23x = 9,023.91 × 9,023.91
  4. Step 4: Simplify right side
    4,413.23x = 81,430,884.01
  5. Step 5: Solve for x
    x = 81,430,884.01/4,413.23
  6. Step 6: Final answer
    x = 18,451.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.