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Finding the Third Proportional to 5.19 and 11.19

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Solution

The third proportional to 5.19 and 11.19 is: 24.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.19 : 11.19 = 11.19 : x
  2. Step 2: Convert to fraction form
    5.19/11.19 = 11.19/x
  3. Step 3: Cross multiply
    5.19x = 11.19 × 11.19
  4. Step 4: Simplify right side
    5.19x = 125.16
  5. Step 5: Solve for x
    x = 125.16/5.19
  6. Step 6: Final answer
    x = 24.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.