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Finding the Third Proportional to 25.06 and 26.75

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Solution

The third proportional to 25.06 and 26.75 is: 28.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.06 : 26.75 = 26.75 : x
  2. Step 2: Convert to fraction form
    25.06/26.75 = 26.75/x
  3. Step 3: Cross multiply
    25.06x = 26.75 × 26.75
  4. Step 4: Simplify right side
    25.06x = 715.56
  5. Step 5: Solve for x
    x = 715.56/25.06
  6. Step 6: Final answer
    x = 28.55

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.