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Finding the Third Proportional to 11,469 and 24,809

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Solution

The third proportional to 11,469 and 24,809 is: 53,665.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469 : 24,809 = 24,809 : x
  2. Step 2: Convert to fraction form
    11,469/24,809 = 24,809/x
  3. Step 3: Cross multiply
    11,469x = 24,809 × 24,809
  4. Step 4: Simplify right side
    11,469x = 615,486,481
  5. Step 5: Solve for x
    x = 615,486,481/11,469
  6. Step 6: Final answer
    x = 53,665.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.