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Finding the Third Proportional to 16.94 and 35.56

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Solution

The third proportional to 16.94 and 35.56 is: 74.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.94 : 35.56 = 35.56 : x
  2. Step 2: Convert to fraction form
    16.94/35.56 = 35.56/x
  3. Step 3: Cross multiply
    16.94x = 35.56 × 35.56
  4. Step 4: Simplify right side
    16.94x = 1,264.69
  5. Step 5: Solve for x
    x = 1,264.69/16.94
  6. Step 6: Final answer
    x = 74.67

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.