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Finding the Third Proportional to 11.34 and 16.64

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Solution

The third proportional to 11.34 and 16.64 is: 24.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.34 : 16.64 = 16.64 : x
  2. Step 2: Convert to fraction form
    11.34/16.64 = 16.64/x
  3. Step 3: Cross multiply
    11.34x = 16.64 × 16.64
  4. Step 4: Simplify right side
    11.34x = 276.91
  5. Step 5: Solve for x
    x = 276.91/11.34
  6. Step 6: Final answer
    x = 24.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.