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Finding the Third Proportional to 20,413.50 and 44,842.50

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Solution

The third proportional to 20,413.50 and 44,842.50 is: 98,505.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.50 : 44,842.50 = 44,842.50 : x
  2. Step 2: Convert to fraction form
    20,413.50/44,842.50 = 44,842.50/x
  3. Step 3: Cross multiply
    20,413.50x = 44,842.50 × 44,842.50
  4. Step 4: Simplify right side
    20,413.50x = 2,010,849,806.25
  5. Step 5: Solve for x
    x = 2,010,849,806.25/20,413.50
  6. Step 6: Final answer
    x = 98,505.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.