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Finding the Third Proportional to 11,413.41 and 16,812.56

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Solution

The third proportional to 11,413.41 and 16,812.56 is: 24,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.41 : 16,812.56 = 16,812.56 : x
  2. Step 2: Convert to fraction form
    11,413.41/16,812.56 = 16,812.56/x
  3. Step 3: Cross multiply
    11,413.41x = 16,812.56 × 16,812.56
  4. Step 4: Simplify right side
    11,413.41x = 282,662,257.82
  5. Step 5: Solve for x
    x = 282,662,257.82/11,413.41
  6. Step 6: Final answer
    x = 24,765.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.