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Finding the Third Proportional to 5,997 and 14,008

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Solution

The third proportional to 5,997 and 14,008 is: 32,720.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997 : 14,008 = 14,008 : x
  2. Step 2: Convert to fraction form
    5,997/14,008 = 14,008/x
  3. Step 3: Cross multiply
    5,997x = 14,008 × 14,008
  4. Step 4: Simplify right side
    5,997x = 196,224,064
  5. Step 5: Solve for x
    x = 196,224,064/5,997
  6. Step 6: Final answer
    x = 32,720.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.