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Finding the Third Proportional to 11.64 and 25.01

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Solution

The third proportional to 11.64 and 25.01 is: 53.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.64 : 25.01 = 25.01 : x
  2. Step 2: Convert to fraction form
    11.64/25.01 = 25.01/x
  3. Step 3: Cross multiply
    11.64x = 25.01 × 25.01
  4. Step 4: Simplify right side
    11.64x = 625.68
  5. Step 5: Solve for x
    x = 625.68/11.64
  6. Step 6: Final answer
    x = 53.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.