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Finding the Third Proportional to 25.92 and 34.22

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Solution

The third proportional to 25.92 and 34.22 is: 45.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.92 : 34.22 = 34.22 : x
  2. Step 2: Convert to fraction form
    25.92/34.22 = 34.22/x
  3. Step 3: Cross multiply
    25.92x = 34.22 × 34.22
  4. Step 4: Simplify right side
    25.92x = 1,170.92
  5. Step 5: Solve for x
    x = 1,170.92/25.92
  6. Step 6: Final answer
    x = 45.17

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.