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Finding the Third Proportional to 25.97 and 41.05

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Solution

The third proportional to 25.97 and 41.05 is: 64.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.97 : 41.05 = 41.05 : x
  2. Step 2: Convert to fraction form
    25.97/41.05 = 41.05/x
  3. Step 3: Cross multiply
    25.97x = 41.05 × 41.05
  4. Step 4: Simplify right side
    25.97x = 1,684.85
  5. Step 5: Solve for x
    x = 1,684.85/25.97
  6. Step 6: Final answer
    x = 64.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.