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Finding the Third Proportional to 5.20 and 11.13

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Solution

The third proportional to 5.20 and 11.13 is: 23.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.20 : 11.13 = 11.13 : x
  2. Step 2: Convert to fraction form
    5.20/11.13 = 11.13/x
  3. Step 3: Cross multiply
    5.20x = 11.13 × 11.13
  4. Step 4: Simplify right side
    5.20x = 123.94
  5. Step 5: Solve for x
    x = 123.94/5.20
  6. Step 6: Final answer
    x = 23.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.