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Finding the Third Proportional to 2,224.44 and 4,723.38

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Solution

The third proportional to 2,224.44 and 4,723.38 is: 10,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.44 : 4,723.38 = 4,723.38 : x
  2. Step 2: Convert to fraction form
    2,224.44/4,723.38 = 4,723.38/x
  3. Step 3: Cross multiply
    2,224.44x = 4,723.38 × 4,723.38
  4. Step 4: Simplify right side
    2,224.44x = 22,310,271.39
  5. Step 5: Solve for x
    x = 22,310,271.39/2,224.44
  6. Step 6: Final answer
    x = 10,029.62

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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.