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Finding the Third Proportional to 27,097.03 and 38,512.97

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Solution

The third proportional to 27,097.03 and 38,512.97 is: 54,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.03 : 38,512.97 = 38,512.97 : x
  2. Step 2: Convert to fraction form
    27,097.03/38,512.97 = 38,512.97/x
  3. Step 3: Cross multiply
    27,097.03x = 38,512.97 × 38,512.97
  4. Step 4: Simplify right side
    27,097.03x = 1,483,248,761.94
  5. Step 5: Solve for x
    x = 1,483,248,761.94/27,097.03
  6. Step 6: Final answer
    x = 54,738.42

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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.