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Finding the Third Proportional to 11,246 and 16,199

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Solution

The third proportional to 11,246 and 16,199 is: 23,333.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,246 : 16,199 = 16,199 : x
  2. Step 2: Convert to fraction form
    11,246/16,199 = 16,199/x
  3. Step 3: Cross multiply
    11,246x = 16,199 × 16,199
  4. Step 4: Simplify right side
    11,246x = 262,407,601
  5. Step 5: Solve for x
    x = 262,407,601/11,246
  6. Step 6: Final answer
    x = 23,333.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.