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Finding the Third Proportional to 5.92 and 13.15

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Solution

The third proportional to 5.92 and 13.15 is: 29.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.92 : 13.15 = 13.15 : x
  2. Step 2: Convert to fraction form
    5.92/13.15 = 13.15/x
  3. Step 3: Cross multiply
    5.92x = 13.15 × 13.15
  4. Step 4: Simplify right side
    5.92x = 172.99
  5. Step 5: Solve for x
    x = 172.99/5.92
  6. Step 6: Final answer
    x = 29.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.