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Finding the Third Proportional to 34,856 and 71,824

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Solution

The third proportional to 34,856 and 71,824 is: 147,999.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,856 : 71,824 = 71,824 : x
  2. Step 2: Convert to fraction form
    34,856/71,824 = 71,824/x
  3. Step 3: Cross multiply
    34,856x = 71,824 × 71,824
  4. Step 4: Simplify right side
    34,856x = 5,158,686,976
  5. Step 5: Solve for x
    x = 5,158,686,976/34,856
  6. Step 6: Final answer
    x = 147,999.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.