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Finding the Third Proportional to 18,146 and 27,199

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Solution

The third proportional to 18,146 and 27,199 is: 40,768.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,146 : 27,199 = 27,199 : x
  2. Step 2: Convert to fraction form
    18,146/27,199 = 27,199/x
  3. Step 3: Cross multiply
    18,146x = 27,199 × 27,199
  4. Step 4: Simplify right side
    18,146x = 739,785,601
  5. Step 5: Solve for x
    x = 739,785,601/18,146
  6. Step 6: Final answer
    x = 40,768.52

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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.