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Finding the Third Proportional to 15.14 and 32.96

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Solution

The third proportional to 15.14 and 32.96 is: 71.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.14 : 32.96 = 32.96 : x
  2. Step 2: Convert to fraction form
    15.14/32.96 = 32.96/x
  3. Step 3: Cross multiply
    15.14x = 32.96 × 32.96
  4. Step 4: Simplify right side
    15.14x = 1,086.21
  5. Step 5: Solve for x
    x = 1,086.21/15.14
  6. Step 6: Final answer
    x = 71.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.