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Finding the Third Proportional to 16.28 and 23.94

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Solution

The third proportional to 16.28 and 23.94 is: 35.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.28 : 23.94 = 23.94 : x
  2. Step 2: Convert to fraction form
    16.28/23.94 = 23.94/x
  3. Step 3: Cross multiply
    16.28x = 23.94 × 23.94
  4. Step 4: Simplify right side
    16.28x = 573.19
  5. Step 5: Solve for x
    x = 573.19/16.28
  6. Step 6: Final answer
    x = 35.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.