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Finding the Third Proportional to 30,833 and 46,234

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Solution

The third proportional to 30,833 and 46,234 is: 69,327.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,833 : 46,234 = 46,234 : x
  2. Step 2: Convert to fraction form
    30,833/46,234 = 46,234/x
  3. Step 3: Cross multiply
    30,833x = 46,234 × 46,234
  4. Step 4: Simplify right side
    30,833x = 2,137,582,756
  5. Step 5: Solve for x
    x = 2,137,582,756/30,833
  6. Step 6: Final answer
    x = 69,327.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.