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Finding the Third Proportional to 24.05 and 51.64

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Solution

The third proportional to 24.05 and 51.64 is: 110.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.05 : 51.64 = 51.64 : x
  2. Step 2: Convert to fraction form
    24.05/51.64 = 51.64/x
  3. Step 3: Cross multiply
    24.05x = 51.64 × 51.64
  4. Step 4: Simplify right side
    24.05x = 2,667.16
  5. Step 5: Solve for x
    x = 2,667.16/24.05
  6. Step 6: Final answer
    x = 110.91

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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.