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Finding the Third Proportional to 16,447 and 36,173

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Solution

The third proportional to 16,447 and 36,173 is: 79,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447 : 36,173 = 36,173 : x
  2. Step 2: Convert to fraction form
    16,447/36,173 = 36,173/x
  3. Step 3: Cross multiply
    16,447x = 36,173 × 36,173
  4. Step 4: Simplify right side
    16,447x = 1,308,485,929
  5. Step 5: Solve for x
    x = 1,308,485,929/16,447
  6. Step 6: Final answer
    x = 79,557.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.