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Finding the Third Proportional to 5,713 and 11,999

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Solution

The third proportional to 5,713 and 11,999 is: 25,201.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713 : 11,999 = 11,999 : x
  2. Step 2: Convert to fraction form
    5,713/11,999 = 11,999/x
  3. Step 3: Cross multiply
    5,713x = 11,999 × 11,999
  4. Step 4: Simplify right side
    5,713x = 143,976,001
  5. Step 5: Solve for x
    x = 143,976,001/5,713
  6. Step 6: Final answer
    x = 25,201.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.