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Finding the Third Proportional to 11.64 and 23.29

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Solution

The third proportional to 11.64 and 23.29 is: 46.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.64 : 23.29 = 23.29 : x
  2. Step 2: Convert to fraction form
    11.64/23.29 = 23.29/x
  3. Step 3: Cross multiply
    11.64x = 23.29 × 23.29
  4. Step 4: Simplify right side
    11.64x = 542.20
  5. Step 5: Solve for x
    x = 542.20/11.64
  6. Step 6: Final answer
    x = 46.57

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.