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Finding the Third Proportional to 12,036 and 18,107

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Solution

The third proportional to 12,036 and 18,107 is: 27,240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,036 : 18,107 = 18,107 : x
  2. Step 2: Convert to fraction form
    12,036/18,107 = 18,107/x
  3. Step 3: Cross multiply
    12,036x = 18,107 × 18,107
  4. Step 4: Simplify right side
    12,036x = 327,863,449
  5. Step 5: Solve for x
    x = 327,863,449/12,036
  6. Step 6: Final answer
    x = 27,240.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.