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Finding the Third Proportional to 26.73 and 38.23

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Solution

The third proportional to 26.73 and 38.23 is: 54.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.73 : 38.23 = 38.23 : x
  2. Step 2: Convert to fraction form
    26.73/38.23 = 38.23/x
  3. Step 3: Cross multiply
    26.73x = 38.23 × 38.23
  4. Step 4: Simplify right side
    26.73x = 1,461.57
  5. Step 5: Solve for x
    x = 1,461.57/26.73
  6. Step 6: Final answer
    x = 54.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.