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Finding the Third Proportional to 5,581.41 and 11,823.47

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Solution

The third proportional to 5,581.41 and 11,823.47 is: 25,046.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.41 : 11,823.47 = 11,823.47 : x
  2. Step 2: Convert to fraction form
    5,581.41/11,823.47 = 11,823.47/x
  3. Step 3: Cross multiply
    5,581.41x = 11,823.47 × 11,823.47
  4. Step 4: Simplify right side
    5,581.41x = 139,794,413.28
  5. Step 5: Solve for x
    x = 139,794,413.28/5,581.41
  6. Step 6: Final answer
    x = 25,046.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.