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Finding the Third Proportional to 16,141 and 33,760

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Solution

The third proportional to 16,141 and 33,760 is: 70,611.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141 : 33,760 = 33,760 : x
  2. Step 2: Convert to fraction form
    16,141/33,760 = 33,760/x
  3. Step 3: Cross multiply
    16,141x = 33,760 × 33,760
  4. Step 4: Simplify right side
    16,141x = 1,139,737,600
  5. Step 5: Solve for x
    x = 1,139,737,600/16,141
  6. Step 6: Final answer
    x = 70,611.34

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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.