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Finding the Third Proportional to 5.24 and 11.65

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Solution

The third proportional to 5.24 and 11.65 is: 25.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.24 : 11.65 = 11.65 : x
  2. Step 2: Convert to fraction form
    5.24/11.65 = 11.65/x
  3. Step 3: Cross multiply
    5.24x = 11.65 × 11.65
  4. Step 4: Simplify right side
    5.24x = 135.76
  5. Step 5: Solve for x
    x = 135.76/5.24
  6. Step 6: Final answer
    x = 25.91

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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.