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Finding the Third Proportional to 11.52 and 26.26

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Solution

The third proportional to 11.52 and 26.26 is: 59.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.52 : 26.26 = 26.26 : x
  2. Step 2: Convert to fraction form
    11.52/26.26 = 26.26/x
  3. Step 3: Cross multiply
    11.52x = 26.26 × 26.26
  4. Step 4: Simplify right side
    11.52x = 689.68
  5. Step 5: Solve for x
    x = 689.68/11.52
  6. Step 6: Final answer
    x = 59.87

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.