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Finding the Third Proportional to 27.97 and 61.19

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Solution

The third proportional to 27.97 and 61.19 is: 133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.97 : 61.19 = 61.19 : x
  2. Step 2: Convert to fraction form
    27.97/61.19 = 61.19/x
  3. Step 3: Cross multiply
    27.97x = 61.19 × 61.19
  4. Step 4: Simplify right side
    27.97x = 3,743.91
  5. Step 5: Solve for x
    x = 3,743.91/27.97
  6. Step 6: Final answer
    x = 133.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.