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Finding the Third Proportional to 11.64 and 25.38

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Solution

The third proportional to 11.64 and 25.38 is: 55.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.64 : 25.38 = 25.38 : x
  2. Step 2: Convert to fraction form
    11.64/25.38 = 25.38/x
  3. Step 3: Cross multiply
    11.64x = 25.38 × 25.38
  4. Step 4: Simplify right side
    11.64x = 644.29
  5. Step 5: Solve for x
    x = 644.29/11.64
  6. Step 6: Final answer
    x = 55.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.