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Finding the Third Proportional to 7.92 and 13.46

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Solution

The third proportional to 7.92 and 13.46 is: 22.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.92 : 13.46 = 13.46 : x
  2. Step 2: Convert to fraction form
    7.92/13.46 = 13.46/x
  3. Step 3: Cross multiply
    7.92x = 13.46 × 13.46
  4. Step 4: Simplify right side
    7.92x = 181.18
  5. Step 5: Solve for x
    x = 181.18/7.92
  6. Step 6: Final answer
    x = 22.88

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.