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Finding the Third Proportional to 5,997 and 13,164

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Solution

The third proportional to 5,997 and 13,164 is: 28,896.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997 : 13,164 = 13,164 : x
  2. Step 2: Convert to fraction form
    5,997/13,164 = 13,164/x
  3. Step 3: Cross multiply
    5,997x = 13,164 × 13,164
  4. Step 4: Simplify right side
    5,997x = 173,290,896
  5. Step 5: Solve for x
    x = 173,290,896/5,997
  6. Step 6: Final answer
    x = 28,896.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.