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Finding the Third Proportional to 34,847 and 46,823

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Solution

The third proportional to 34,847 and 46,823 is: 62,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,847 : 46,823 = 46,823 : x
  2. Step 2: Convert to fraction form
    34,847/46,823 = 46,823/x
  3. Step 3: Cross multiply
    34,847x = 46,823 × 46,823
  4. Step 4: Simplify right side
    34,847x = 2,192,393,329
  5. Step 5: Solve for x
    x = 2,192,393,329/34,847
  6. Step 6: Final answer
    x = 62,914.84

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.