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Finding the Third Proportional to 32.72 and 71.91

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Solution

The third proportional to 32.72 and 71.91 is: 158.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.72 : 71.91 = 71.91 : x
  2. Step 2: Convert to fraction form
    32.72/71.91 = 71.91/x
  3. Step 3: Cross multiply
    32.72x = 71.91 × 71.91
  4. Step 4: Simplify right side
    32.72x = 5,170.51
  5. Step 5: Solve for x
    x = 5,170.51/32.72
  6. Step 6: Final answer
    x = 158.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.