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Finding the Third Proportional to 16,208 and 38,656

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Solution

The third proportional to 16,208 and 38,656 is: 92,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208 : 38,656 = 38,656 : x
  2. Step 2: Convert to fraction form
    16,208/38,656 = 38,656/x
  3. Step 3: Cross multiply
    16,208x = 38,656 × 38,656
  4. Step 4: Simplify right side
    16,208x = 1,494,286,336
  5. Step 5: Solve for x
    x = 1,494,286,336/16,208
  6. Step 6: Final answer
    x = 92,194.37

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.