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Finding the Third Proportional to 22,975 and 49,469

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Solution

The third proportional to 22,975 and 49,469 is: 106,514.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,975 : 49,469 = 49,469 : x
  2. Step 2: Convert to fraction form
    22,975/49,469 = 49,469/x
  3. Step 3: Cross multiply
    22,975x = 49,469 × 49,469
  4. Step 4: Simplify right side
    22,975x = 2,447,181,961
  5. Step 5: Solve for x
    x = 2,447,181,961/22,975
  6. Step 6: Final answer
    x = 106,514.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.