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Finding the Third Proportional to 16,267 and 33,946

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Solution

The third proportional to 16,267 and 33,946 is: 70,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267 : 33,946 = 33,946 : x
  2. Step 2: Convert to fraction form
    16,267/33,946 = 33,946/x
  3. Step 3: Cross multiply
    16,267x = 33,946 × 33,946
  4. Step 4: Simplify right side
    16,267x = 1,152,330,916
  5. Step 5: Solve for x
    x = 1,152,330,916/16,267
  6. Step 6: Final answer
    x = 70,838.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.