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Finding the Third Proportional to 16,188 and 34,922

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Solution

The third proportional to 16,188 and 34,922 is: 75,336.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,188 : 34,922 = 34,922 : x
  2. Step 2: Convert to fraction form
    16,188/34,922 = 34,922/x
  3. Step 3: Cross multiply
    16,188x = 34,922 × 34,922
  4. Step 4: Simplify right side
    16,188x = 1,219,546,084
  5. Step 5: Solve for x
    x = 1,219,546,084/16,188
  6. Step 6: Final answer
    x = 75,336.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.