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Finding the Third Proportional to 16,032 and 33,906

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Solution

The third proportional to 16,032 and 33,906 is: 71,707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032 : 33,906 = 33,906 : x
  2. Step 2: Convert to fraction form
    16,032/33,906 = 33,906/x
  3. Step 3: Cross multiply
    16,032x = 33,906 × 33,906
  4. Step 4: Simplify right side
    16,032x = 1,149,616,836
  5. Step 5: Solve for x
    x = 1,149,616,836/16,032
  6. Step 6: Final answer
    x = 71,707.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.