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Finding the Third Proportional to 46,474 and 98,941

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Solution

The third proportional to 46,474 and 98,941 is: 210,640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,474 : 98,941 = 98,941 : x
  2. Step 2: Convert to fraction form
    46,474/98,941 = 98,941/x
  3. Step 3: Cross multiply
    46,474x = 98,941 × 98,941
  4. Step 4: Simplify right side
    46,474x = 9,789,321,481
  5. Step 5: Solve for x
    x = 9,789,321,481/46,474
  6. Step 6: Final answer
    x = 210,640.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.