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Finding the Third Proportional to 16,032 and 34,530

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Solution

The third proportional to 16,032 and 34,530 is: 74,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032 : 34,530 = 34,530 : x
  2. Step 2: Convert to fraction form
    16,032/34,530 = 34,530/x
  3. Step 3: Cross multiply
    16,032x = 34,530 × 34,530
  4. Step 4: Simplify right side
    16,032x = 1,192,320,900
  5. Step 5: Solve for x
    x = 1,192,320,900/16,032
  6. Step 6: Final answer
    x = 74,371.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.