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Finding the Third Proportional to 22,974 and 49,616

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Solution

The third proportional to 22,974 and 49,616 is: 107,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,974 : 49,616 = 49,616 : x
  2. Step 2: Convert to fraction form
    22,974/49,616 = 49,616/x
  3. Step 3: Cross multiply
    22,974x = 49,616 × 49,616
  4. Step 4: Simplify right side
    22,974x = 2,461,747,456
  5. Step 5: Solve for x
    x = 2,461,747,456/22,974
  6. Step 6: Final answer
    x = 107,153.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.