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Finding the Third Proportional to 5,967 and 14,127.75

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Solution

The third proportional to 5,967 and 14,127.75 is: 33,449.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967 : 14,127.75 = 14,127.75 : x
  2. Step 2: Convert to fraction form
    5,967/14,127.75 = 14,127.75/x
  3. Step 3: Cross multiply
    5,967x = 14,127.75 × 14,127.75
  4. Step 4: Simplify right side
    5,967x = 199,593,320.06
  5. Step 5: Solve for x
    x = 199,593,320.06/5,967
  6. Step 6: Final answer
    x = 33,449.53

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.