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Finding the Third Proportional to 27.03 and 59.47

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Solution

The third proportional to 27.03 and 59.47 is: 130.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.03 : 59.47 = 59.47 : x
  2. Step 2: Convert to fraction form
    27.03/59.47 = 59.47/x
  3. Step 3: Cross multiply
    27.03x = 59.47 × 59.47
  4. Step 4: Simplify right side
    27.03x = 3,536.33
  5. Step 5: Solve for x
    x = 3,536.33/27.03
  6. Step 6: Final answer
    x = 130.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.