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Finding the Third Proportional to 22,413.38 and 48,282.75

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Solution

The third proportional to 22,413.38 and 48,282.75 is: 104,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,413.38 : 48,282.75 = 48,282.75 : x
  2. Step 2: Convert to fraction form
    22,413.38/48,282.75 = 48,282.75/x
  3. Step 3: Cross multiply
    22,413.38x = 48,282.75 × 48,282.75
  4. Step 4: Simplify right side
    22,413.38x = 2,331,223,947.56
  5. Step 5: Solve for x
    x = 2,331,223,947.56/22,413.38
  6. Step 6: Final answer
    x = 104,010.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.