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Finding the Third Proportional to 23.75 and 25.57

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Solution

The third proportional to 23.75 and 25.57 is: 27.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.75 : 25.57 = 25.57 : x
  2. Step 2: Convert to fraction form
    23.75/25.57 = 25.57/x
  3. Step 3: Cross multiply
    23.75x = 25.57 × 25.57
  4. Step 4: Simplify right side
    23.75x = 653.96
  5. Step 5: Solve for x
    x = 653.96/23.75
  6. Step 6: Final answer
    x = 27.54

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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.