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Finding the Third Proportional to 26.13 and 34.92

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Solution

The third proportional to 26.13 and 34.92 is: 46.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.13 : 34.92 = 34.92 : x
  2. Step 2: Convert to fraction form
    26.13/34.92 = 34.92/x
  3. Step 3: Cross multiply
    26.13x = 34.92 × 34.92
  4. Step 4: Simplify right side
    26.13x = 1,219.54
  5. Step 5: Solve for x
    x = 1,219.54/26.13
  6. Step 6: Final answer
    x = 46.67

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.