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Finding the Third Proportional to 26 and 34.50

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Solution

The third proportional to 26 and 34.50 is: 45.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26 : 34.50 = 34.50 : x
  2. Step 2: Convert to fraction form
    26/34.50 = 34.50/x
  3. Step 3: Cross multiply
    26x = 34.50 × 34.50
  4. Step 4: Simplify right side
    26x = 1,190.25
  5. Step 5: Solve for x
    x = 1,190.25/26
  6. Step 6: Final answer
    x = 45.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.