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Finding the Third Proportional to 5.13 and 11.04

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Solution

The third proportional to 5.13 and 11.04 is: 23.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.13 : 11.04 = 11.04 : x
  2. Step 2: Convert to fraction form
    5.13/11.04 = 11.04/x
  3. Step 3: Cross multiply
    5.13x = 11.04 × 11.04
  4. Step 4: Simplify right side
    5.13x = 121.86
  5. Step 5: Solve for x
    x = 121.86/5.13
  6. Step 6: Final answer
    x = 23.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.