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Finding the Third Proportional to 25.91 and 41.33

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Solution

The third proportional to 25.91 and 41.33 is: 65.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.91 : 41.33 = 41.33 : x
  2. Step 2: Convert to fraction form
    25.91/41.33 = 41.33/x
  3. Step 3: Cross multiply
    25.91x = 41.33 × 41.33
  4. Step 4: Simplify right side
    25.91x = 1,708.01
  5. Step 5: Solve for x
    x = 1,708.01/25.91
  6. Step 6: Final answer
    x = 65.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.