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Finding the Third Proportional to 23.16 and 24.94

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Solution

The third proportional to 23.16 and 24.94 is: 26.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.16 : 24.94 = 24.94 : x
  2. Step 2: Convert to fraction form
    23.16/24.94 = 24.94/x
  3. Step 3: Cross multiply
    23.16x = 24.94 × 24.94
  4. Step 4: Simplify right side
    23.16x = 622.05
  5. Step 5: Solve for x
    x = 622.05/23.16
  6. Step 6: Final answer
    x = 26.86

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.