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Finding the Third Proportional to 11,967.75 and 18,187.03

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Solution

The third proportional to 11,967.75 and 18,187.03 is: 27,638.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.75 : 18,187.03 = 18,187.03 : x
  2. Step 2: Convert to fraction form
    11,967.75/18,187.03 = 18,187.03/x
  3. Step 3: Cross multiply
    11,967.75x = 18,187.03 × 18,187.03
  4. Step 4: Simplify right side
    11,967.75x = 330,768,105.69
  5. Step 5: Solve for x
    x = 330,768,105.69/11,967.75
  6. Step 6: Final answer
    x = 27,638.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.