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Finding the Third Proportional to 16.10 and 38.53

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Solution

The third proportional to 16.10 and 38.53 is: 92.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.10 : 38.53 = 38.53 : x
  2. Step 2: Convert to fraction form
    16.10/38.53 = 38.53/x
  3. Step 3: Cross multiply
    16.10x = 38.53 × 38.53
  4. Step 4: Simplify right side
    16.10x = 1,484.80
  5. Step 5: Solve for x
    x = 1,484.80/16.10
  6. Step 6: Final answer
    x = 92.23

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.