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Finding the Third Proportional to 21,997 and 46,469

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Solution

The third proportional to 21,997 and 46,469 is: 98,166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,997 : 46,469 = 46,469 : x
  2. Step 2: Convert to fraction form
    21,997/46,469 = 46,469/x
  3. Step 3: Cross multiply
    21,997x = 46,469 × 46,469
  4. Step 4: Simplify right side
    21,997x = 2,159,367,961
  5. Step 5: Solve for x
    x = 2,159,367,961/21,997
  6. Step 6: Final answer
    x = 98,166.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.