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Finding the Third Proportional to 5.30 and 11.30

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Solution

The third proportional to 5.30 and 11.30 is: 24.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.30 : 11.30 = 11.30 : x
  2. Step 2: Convert to fraction form
    5.30/11.30 = 11.30/x
  3. Step 3: Cross multiply
    5.30x = 11.30 × 11.30
  4. Step 4: Simplify right side
    5.30x = 127.62
  5. Step 5: Solve for x
    x = 127.62/5.30
  6. Step 6: Final answer
    x = 24.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.