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Finding the Third Proportional to 11,149 and 23,999

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Solution

The third proportional to 11,149 and 23,999 is: 51,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149 : 23,999 = 23,999 : x
  2. Step 2: Convert to fraction form
    11,149/23,999 = 23,999/x
  3. Step 3: Cross multiply
    11,149x = 23,999 × 23,999
  4. Step 4: Simplify right side
    11,149x = 575,952,001
  5. Step 5: Solve for x
    x = 575,952,001/11,149
  6. Step 6: Final answer
    x = 51,659.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.