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Finding the Third Proportional to 10.26 and 11.59

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Solution

The third proportional to 10.26 and 11.59 is: 13.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.26 : 11.59 = 11.59 : x
  2. Step 2: Convert to fraction form
    10.26/11.59 = 11.59/x
  3. Step 3: Cross multiply
    10.26x = 11.59 × 11.59
  4. Step 4: Simplify right side
    10.26x = 134.25
  5. Step 5: Solve for x
    x = 134.25/10.26
  6. Step 6: Final answer
    x = 13.09

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.