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Finding the Third Proportional to 26.73 and 58.27

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Solution

The third proportional to 26.73 and 58.27 is: 126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.73 : 58.27 = 58.27 : x
  2. Step 2: Convert to fraction form
    26.73/58.27 = 58.27/x
  3. Step 3: Cross multiply
    26.73x = 58.27 × 58.27
  4. Step 4: Simplify right side
    26.73x = 3,394.88
  5. Step 5: Solve for x
    x = 3,394.88/26.73
  6. Step 6: Final answer
    x = 126.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.