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Finding the Third Proportional to 33,072 and 68,818

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Solution

The third proportional to 33,072 and 68,818 is: 143,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,072 : 68,818 = 68,818 : x
  2. Step 2: Convert to fraction form
    33,072/68,818 = 68,818/x
  3. Step 3: Cross multiply
    33,072x = 68,818 × 68,818
  4. Step 4: Simplify right side
    33,072x = 4,735,917,124
  5. Step 5: Solve for x
    x = 4,735,917,124/33,072
  6. Step 6: Final answer
    x = 143,200.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.