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Finding the Third Proportional to 9.46 and 19.37

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Solution

The third proportional to 9.46 and 19.37 is: 39.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.46 : 19.37 = 19.37 : x
  2. Step 2: Convert to fraction form
    9.46/19.37 = 19.37/x
  3. Step 3: Cross multiply
    9.46x = 19.37 × 19.37
  4. Step 4: Simplify right side
    9.46x = 375.27
  5. Step 5: Solve for x
    x = 375.27/9.46
  6. Step 6: Final answer
    x = 39.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.