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Finding the Third Proportional to 16,857 and 36,954

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Solution

The third proportional to 16,857 and 36,954 is: 81,010.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857 : 36,954 = 36,954 : x
  2. Step 2: Convert to fraction form
    16,857/36,954 = 36,954/x
  3. Step 3: Cross multiply
    16,857x = 36,954 × 36,954
  4. Step 4: Simplify right side
    16,857x = 1,365,598,116
  5. Step 5: Solve for x
    x = 1,365,598,116/16,857
  6. Step 6: Final answer
    x = 81,010.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.