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Finding the Third Proportional to 47,413.50 and 69,367.50

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Solution

The third proportional to 47,413.50 and 69,367.50 is: 101,486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,413.50 : 69,367.50 = 69,367.50 : x
  2. Step 2: Convert to fraction form
    47,413.50/69,367.50 = 69,367.50/x
  3. Step 3: Cross multiply
    47,413.50x = 69,367.50 × 69,367.50
  4. Step 4: Simplify right side
    47,413.50x = 4,811,850,056.25
  5. Step 5: Solve for x
    x = 4,811,850,056.25/47,413.50
  6. Step 6: Final answer
    x = 101,486.92

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.