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Finding the Third Proportional to 32.91 and 73.41

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Solution

The third proportional to 32.91 and 73.41 is: 163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.91 : 73.41 = 73.41 : x
  2. Step 2: Convert to fraction form
    32.91/73.41 = 73.41/x
  3. Step 3: Cross multiply
    32.91x = 73.41 × 73.41
  4. Step 4: Simplify right side
    32.91x = 5,388.48
  5. Step 5: Solve for x
    x = 5,388.48/32.91
  6. Step 6: Final answer
    x = 163.75

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.