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Finding the Third Proportional to 16,072 and 29,744

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Solution

The third proportional to 16,072 and 29,744 is: 55,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,072 : 29,744 = 29,744 : x
  2. Step 2: Convert to fraction form
    16,072/29,744 = 29,744/x
  3. Step 3: Cross multiply
    16,072x = 29,744 × 29,744
  4. Step 4: Simplify right side
    16,072x = 884,705,536
  5. Step 5: Solve for x
    x = 884,705,536/16,072
  6. Step 6: Final answer
    x = 55,046.39

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.