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Finding the Third Proportional to 50,011.50 and 77,413.50

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Solution

The third proportional to 50,011.50 and 77,413.50 is: 119,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,011.50 : 77,413.50 = 77,413.50 : x
  2. Step 2: Convert to fraction form
    50,011.50/77,413.50 = 77,413.50/x
  3. Step 3: Cross multiply
    50,011.50x = 77,413.50 × 77,413.50
  4. Step 4: Simplify right side
    50,011.50x = 5,992,849,982.25
  5. Step 5: Solve for x
    x = 5,992,849,982.25/50,011.50
  6. Step 6: Final answer
    x = 119,829.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.