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Finding the Third Proportional to 11,413.69 and 24,903.56

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Solution

The third proportional to 11,413.69 and 24,903.56 is: 54,337.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.69 : 24,903.56 = 24,903.56 : x
  2. Step 2: Convert to fraction form
    11,413.69/24,903.56 = 24,903.56/x
  3. Step 3: Cross multiply
    11,413.69x = 24,903.56 × 24,903.56
  4. Step 4: Simplify right side
    11,413.69x = 620,187,425.19
  5. Step 5: Solve for x
    x = 620,187,425.19/11,413.69
  6. Step 6: Final answer
    x = 54,337.17

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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.