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Finding the Third Proportional to 24,469 and 53,996

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Solution

The third proportional to 24,469 and 53,996 is: 119,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,469 : 53,996 = 53,996 : x
  2. Step 2: Convert to fraction form
    24,469/53,996 = 53,996/x
  3. Step 3: Cross multiply
    24,469x = 53,996 × 53,996
  4. Step 4: Simplify right side
    24,469x = 2,915,568,016
  5. Step 5: Solve for x
    x = 2,915,568,016/24,469
  6. Step 6: Final answer
    x = 119,153.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.