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Finding the Third Proportional to 38,277 and 82,704

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Solution

The third proportional to 38,277 and 82,704 is: 178,696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,277 : 82,704 = 82,704 : x
  2. Step 2: Convert to fraction form
    38,277/82,704 = 82,704/x
  3. Step 3: Cross multiply
    38,277x = 82,704 × 82,704
  4. Step 4: Simplify right side
    38,277x = 6,839,951,616
  5. Step 5: Solve for x
    x = 6,839,951,616/38,277
  6. Step 6: Final answer
    x = 178,696.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.