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Finding the Third Proportional to 9,469 and 20,761

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Solution

The third proportional to 9,469 and 20,761 is: 45,518.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469 : 20,761 = 20,761 : x
  2. Step 2: Convert to fraction form
    9,469/20,761 = 20,761/x
  3. Step 3: Cross multiply
    9,469x = 20,761 × 20,761
  4. Step 4: Simplify right side
    9,469x = 431,019,121
  5. Step 5: Solve for x
    x = 431,019,121/9,469
  6. Step 6: Final answer
    x = 45,518.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.