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Finding the Third Proportional to 27.03 and 41.97

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Solution

The third proportional to 27.03 and 41.97 is: 65.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.03 : 41.97 = 41.97 : x
  2. Step 2: Convert to fraction form
    27.03/41.97 = 41.97/x
  3. Step 3: Cross multiply
    27.03x = 41.97 × 41.97
  4. Step 4: Simplify right side
    27.03x = 1,761.38
  5. Step 5: Solve for x
    x = 1,761.38/27.03
  6. Step 6: Final answer
    x = 65.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.