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Finding the Third Proportional to 16.19 and 35.94

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Solution

The third proportional to 16.19 and 35.94 is: 79.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.19 : 35.94 = 35.94 : x
  2. Step 2: Convert to fraction form
    16.19/35.94 = 35.94/x
  3. Step 3: Cross multiply
    16.19x = 35.94 × 35.94
  4. Step 4: Simplify right side
    16.19x = 1,291.50
  5. Step 5: Solve for x
    x = 1,291.50/16.19
  6. Step 6: Final answer
    x = 79.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.