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Finding the Third Proportional to 16.88 and 38.13

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Solution

The third proportional to 16.88 and 38.13 is: 86.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.88 : 38.13 = 38.13 : x
  2. Step 2: Convert to fraction form
    16.88/38.13 = 38.13/x
  3. Step 3: Cross multiply
    16.88x = 38.13 × 38.13
  4. Step 4: Simplify right side
    16.88x = 1,453.66
  5. Step 5: Solve for x
    x = 1,453.66/16.88
  6. Step 6: Final answer
    x = 86.14

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.