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Finding the Third Proportional to 12,042 and 18,295

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Solution

The third proportional to 12,042 and 18,295 is: 27,794.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042 : 18,295 = 18,295 : x
  2. Step 2: Convert to fraction form
    12,042/18,295 = 18,295/x
  3. Step 3: Cross multiply
    12,042x = 18,295 × 18,295
  4. Step 4: Simplify right side
    12,042x = 334,707,025
  5. Step 5: Solve for x
    x = 334,707,025/12,042
  6. Step 6: Final answer
    x = 27,794.97

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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.