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Finding the Third Proportional to 47,835 and 104,413.50

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Solution

The third proportional to 47,835 and 104,413.50 is: 227,912.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,835 : 104,413.50 = 104,413.50 : x
  2. Step 2: Convert to fraction form
    47,835/104,413.50 = 104,413.50/x
  3. Step 3: Cross multiply
    47,835x = 104,413.50 × 104,413.50
  4. Step 4: Simplify right side
    47,835x = 10,902,178,982.25
  5. Step 5: Solve for x
    x = 10,902,178,982.25/47,835
  6. Step 6: Final answer
    x = 227,912.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.