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Finding the Third Proportional to 29,950 and 46,173

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Solution

The third proportional to 29,950 and 46,173 is: 71,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,950 : 46,173 = 46,173 : x
  2. Step 2: Convert to fraction form
    29,950/46,173 = 46,173/x
  3. Step 3: Cross multiply
    29,950x = 46,173 × 46,173
  4. Step 4: Simplify right side
    29,950x = 2,131,945,929
  5. Step 5: Solve for x
    x = 2,131,945,929/29,950
  6. Step 6: Final answer
    x = 71,183.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.