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Finding the Third Proportional to 34,767 and 82,917

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Solution

The third proportional to 34,767 and 82,917 is: 197,751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,767 : 82,917 = 82,917 : x
  2. Step 2: Convert to fraction form
    34,767/82,917 = 82,917/x
  3. Step 3: Cross multiply
    34,767x = 82,917 × 82,917
  4. Step 4: Simplify right side
    34,767x = 6,875,228,889
  5. Step 5: Solve for x
    x = 6,875,228,889/34,767
  6. Step 6: Final answer
    x = 197,751.57

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.