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Finding the Third Proportional to 11.52 and 16.37

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Solution

The third proportional to 11.52 and 16.37 is: 23.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.52 : 16.37 = 16.37 : x
  2. Step 2: Convert to fraction form
    11.52/16.37 = 16.37/x
  3. Step 3: Cross multiply
    11.52x = 16.37 × 16.37
  4. Step 4: Simplify right side
    11.52x = 268.01
  5. Step 5: Solve for x
    x = 268.01/11.52
  6. Step 6: Final answer
    x = 23.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.