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Finding the Third Proportional to 7.92 and 15.98

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Solution

The third proportional to 7.92 and 15.98 is: 32.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.92 : 15.98 = 15.98 : x
  2. Step 2: Convert to fraction form
    7.92/15.98 = 15.98/x
  3. Step 3: Cross multiply
    7.92x = 15.98 × 15.98
  4. Step 4: Simplify right side
    7.92x = 255.50
  5. Step 5: Solve for x
    x = 255.50/7.92
  6. Step 6: Final answer
    x = 32.25

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.