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Finding the Third Proportional to 10,413.56 and 21,520.69

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Solution

The third proportional to 10,413.56 and 21,520.69 is: 44,474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.56 : 21,520.69 = 21,520.69 : x
  2. Step 2: Convert to fraction form
    10,413.56/21,520.69 = 21,520.69/x
  3. Step 3: Cross multiply
    10,413.56x = 21,520.69 × 21,520.69
  4. Step 4: Simplify right side
    10,413.56x = 463,139,990.47
  5. Step 5: Solve for x
    x = 463,139,990.47/10,413.56
  6. Step 6: Final answer
    x = 44,474.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.