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Finding the Third Proportional to 3.73 and 8.56

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Solution

The third proportional to 3.73 and 8.56 is: 19.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.73 : 8.56 = 8.56 : x
  2. Step 2: Convert to fraction form
    3.73/8.56 = 8.56/x
  3. Step 3: Cross multiply
    3.73x = 8.56 × 8.56
  4. Step 4: Simplify right side
    3.73x = 73.29
  5. Step 5: Solve for x
    x = 73.29/3.73
  6. Step 6: Final answer
    x = 19.67

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.