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Finding the Third Proportional to 16,048 and 36,447

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Solution

The third proportional to 16,048 and 36,447 is: 82,775.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,048 : 36,447 = 36,447 : x
  2. Step 2: Convert to fraction form
    16,048/36,447 = 36,447/x
  3. Step 3: Cross multiply
    16,048x = 36,447 × 36,447
  4. Step 4: Simplify right side
    16,048x = 1,328,383,809
  5. Step 5: Solve for x
    x = 1,328,383,809/16,048
  6. Step 6: Final answer
    x = 82,775.66

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.