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Finding the Third Proportional to 16.73 and 23.20

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Solution

The third proportional to 16.73 and 23.20 is: 32.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.73 : 23.20 = 23.20 : x
  2. Step 2: Convert to fraction form
    16.73/23.20 = 23.20/x
  3. Step 3: Cross multiply
    16.73x = 23.20 × 23.20
  4. Step 4: Simplify right side
    16.73x = 538.39
  5. Step 5: Solve for x
    x = 538.39/16.73
  6. Step 6: Final answer
    x = 32.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.