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Finding the Third Proportional to 27.69 and 60.20

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Solution

The third proportional to 27.69 and 60.20 is: 130.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.69 : 60.20 = 60.20 : x
  2. Step 2: Convert to fraction form
    27.69/60.20 = 60.20/x
  3. Step 3: Cross multiply
    27.69x = 60.20 × 60.20
  4. Step 4: Simplify right side
    27.69x = 3,623.59
  5. Step 5: Solve for x
    x = 3,623.59/27.69
  6. Step 6: Final answer
    x = 130.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.