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Finding the Third Proportional to 16.31 and 29.53

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Solution

The third proportional to 16.31 and 29.53 is: 53.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.31 : 29.53 = 29.53 : x
  2. Step 2: Convert to fraction form
    16.31/29.53 = 29.53/x
  3. Step 3: Cross multiply
    16.31x = 29.53 × 29.53
  4. Step 4: Simplify right side
    16.31x = 872.09
  5. Step 5: Solve for x
    x = 872.09/16.31
  6. Step 6: Final answer
    x = 53.46

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.