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Finding the Third Proportional to 26.50 and 27.50

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Solution

The third proportional to 26.50 and 27.50 is: 28.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.50 : 27.50 = 27.50 : x
  2. Step 2: Convert to fraction form
    26.50/27.50 = 27.50/x
  3. Step 3: Cross multiply
    26.50x = 27.50 × 27.50
  4. Step 4: Simplify right side
    26.50x = 756.25
  5. Step 5: Solve for x
    x = 756.25/26.50
  6. Step 6: Final answer
    x = 28.54

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.