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Finding the Third Proportional to 19,029.38 and 27,046.97

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Solution

The third proportional to 19,029.38 and 27,046.97 is: 38,442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,029.38 : 27,046.97 = 27,046.97 : x
  2. Step 2: Convert to fraction form
    19,029.38/27,046.97 = 27,046.97/x
  3. Step 3: Cross multiply
    19,029.38x = 27,046.97 × 27,046.97
  4. Step 4: Simplify right side
    19,029.38x = 731,538,518.56
  5. Step 5: Solve for x
    x = 731,538,518.56/19,029.38
  6. Step 6: Final answer
    x = 38,442.59

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.