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Finding the Third Proportional to 26.25 and 35.38

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Solution

The third proportional to 26.25 and 35.38 is: 47.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.25 : 35.38 = 35.38 : x
  2. Step 2: Convert to fraction form
    26.25/35.38 = 35.38/x
  3. Step 3: Cross multiply
    26.25x = 35.38 × 35.38
  4. Step 4: Simplify right side
    26.25x = 1,251.39
  5. Step 5: Solve for x
    x = 1,251.39/26.25
  6. Step 6: Final answer
    x = 47.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.