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Finding the Third Proportional to 23,861 and 53,909

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Solution

The third proportional to 23,861 and 53,909 is: 121,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,861 : 53,909 = 53,909 : x
  2. Step 2: Convert to fraction form
    23,861/53,909 = 53,909/x
  3. Step 3: Cross multiply
    23,861x = 53,909 × 53,909
  4. Step 4: Simplify right side
    23,861x = 2,906,180,281
  5. Step 5: Solve for x
    x = 2,906,180,281/23,861
  6. Step 6: Final answer
    x = 121,796.25

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.