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Finding the Third Proportional to 16.31 and 34.88

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Solution

The third proportional to 16.31 and 34.88 is: 74.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.31 : 34.88 = 34.88 : x
  2. Step 2: Convert to fraction form
    16.31/34.88 = 34.88/x
  3. Step 3: Cross multiply
    16.31x = 34.88 × 34.88
  4. Step 4: Simplify right side
    16.31x = 1,216.27
  5. Step 5: Solve for x
    x = 1,216.27/16.31
  6. Step 6: Final answer
    x = 74.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.