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Finding the Third Proportional to 32.91 and 35.44

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Solution

The third proportional to 32.91 and 35.44 is: 38.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.91 : 35.44 = 35.44 : x
  2. Step 2: Convert to fraction form
    32.91/35.44 = 35.44/x
  3. Step 3: Cross multiply
    32.91x = 35.44 × 35.44
  4. Step 4: Simplify right side
    32.91x = 1,255.82
  5. Step 5: Solve for x
    x = 1,255.82/32.91
  6. Step 6: Final answer
    x = 38.16

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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.