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Finding the Third Proportional to 16 and 32.94

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Solution

The third proportional to 16 and 32.94 is: 67.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16 : 32.94 = 32.94 : x
  2. Step 2: Convert to fraction form
    16/32.94 = 32.94/x
  3. Step 3: Cross multiply
    16x = 32.94 × 32.94
  4. Step 4: Simplify right side
    16x = 1,084.88
  5. Step 5: Solve for x
    x = 1,084.88/16
  6. Step 6: Final answer
    x = 67.80

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.