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Finding the Third Proportional to 16.36 and 35.11

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Solution

The third proportional to 16.36 and 35.11 is: 75.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.36 : 35.11 = 35.11 : x
  2. Step 2: Convert to fraction form
    16.36/35.11 = 35.11/x
  3. Step 3: Cross multiply
    16.36x = 35.11 × 35.11
  4. Step 4: Simplify right side
    16.36x = 1,232.67
  5. Step 5: Solve for x
    x = 1,232.67/16.36
  6. Step 6: Final answer
    x = 75.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.