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Finding the Third Proportional to 33,520 and 66,194

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Solution

The third proportional to 33,520 and 66,194 is: 130,717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,520 : 66,194 = 66,194 : x
  2. Step 2: Convert to fraction form
    33,520/66,194 = 66,194/x
  3. Step 3: Cross multiply
    33,520x = 66,194 × 66,194
  4. Step 4: Simplify right side
    33,520x = 4,381,645,636
  5. Step 5: Solve for x
    x = 4,381,645,636/33,520
  6. Step 6: Final answer
    x = 130,717.35

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.