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Finding the Third Proportional to 41,914.69 and 63,413.72

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Solution

The third proportional to 41,914.69 and 63,413.72 is: 95,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,914.69 : 63,413.72 = 63,413.72 : x
  2. Step 2: Convert to fraction form
    41,914.69/63,413.72 = 63,413.72/x
  3. Step 3: Cross multiply
    41,914.69x = 63,413.72 × 63,413.72
  4. Step 4: Simplify right side
    41,914.69x = 4,021,299,725.70
  5. Step 5: Solve for x
    x = 4,021,299,725.70/41,914.69
  6. Step 6: Final answer
    x = 95,940.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.