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Finding the Third Proportional to 1,047.94 and 2,224.97

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Solution

The third proportional to 1,047.94 and 2,224.97 is: 4,724.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.94 : 2,224.97 = 2,224.97 : x
  2. Step 2: Convert to fraction form
    1,047.94/2,224.97 = 2,224.97/x
  3. Step 3: Cross multiply
    1,047.94x = 2,224.97 × 2,224.97
  4. Step 4: Simplify right side
    1,047.94x = 4,950,485.94
  5. Step 5: Solve for x
    x = 4,950,485.94/1,047.94
  6. Step 6: Final answer
    x = 4,724.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.