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Finding the Third Proportional to 9.92 and 15.67

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Solution

The third proportional to 9.92 and 15.67 is: 24.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.92 : 15.67 = 15.67 : x
  2. Step 2: Convert to fraction form
    9.92/15.67 = 15.67/x
  3. Step 3: Cross multiply
    9.92x = 15.67 × 15.67
  4. Step 4: Simplify right side
    9.92x = 245.70
  5. Step 5: Solve for x
    x = 245.70/9.92
  6. Step 6: Final answer
    x = 24.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.