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Finding the Third Proportional to 12,189 and 18,203.75

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Solution

The third proportional to 12,189 and 18,203.75 is: 27,186.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189 : 18,203.75 = 18,203.75 : x
  2. Step 2: Convert to fraction form
    12,189/18,203.75 = 18,203.75/x
  3. Step 3: Cross multiply
    12,189x = 18,203.75 × 18,203.75
  4. Step 4: Simplify right side
    12,189x = 331,376,514.06
  5. Step 5: Solve for x
    x = 331,376,514.06/12,189
  6. Step 6: Final answer
    x = 27,186.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.