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Finding the Third Proportional to 18,042.75 and 27,084.38

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Solution

The third proportional to 18,042.75 and 27,084.38 is: 40,656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,042.75 : 27,084.38 = 27,084.38 : x
  2. Step 2: Convert to fraction form
    18,042.75/27,084.38 = 27,084.38/x
  3. Step 3: Cross multiply
    18,042.75x = 27,084.38 × 27,084.38
  4. Step 4: Simplify right side
    18,042.75x = 733,563,369.14
  5. Step 5: Solve for x
    x = 733,563,369.14/18,042.75
  6. Step 6: Final answer
    x = 40,656.96

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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.