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Finding the Third Proportional to 22,936.94 and 47,954.56

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Solution

The third proportional to 22,936.94 and 47,954.56 is: 100,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,936.94 : 47,954.56 = 47,954.56 : x
  2. Step 2: Convert to fraction form
    22,936.94/47,954.56 = 47,954.56/x
  3. Step 3: Cross multiply
    22,936.94x = 47,954.56 × 47,954.56
  4. Step 4: Simplify right side
    22,936.94x = 2,299,640,064.57
  5. Step 5: Solve for x
    x = 2,299,640,064.57/22,936.94
  6. Step 6: Final answer
    x = 100,259.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.