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Finding the Third Proportional to 2,247.75 and 4,837.22

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Solution

The third proportional to 2,247.75 and 4,837.22 is: 10,409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.75 : 4,837.22 = 4,837.22 : x
  2. Step 2: Convert to fraction form
    2,247.75/4,837.22 = 4,837.22/x
  3. Step 3: Cross multiply
    2,247.75x = 4,837.22 × 4,837.22
  4. Step 4: Simplify right side
    2,247.75x = 23,398,685.24
  5. Step 5: Solve for x
    x = 23,398,685.24/2,247.75
  6. Step 6: Final answer
    x = 10,409.83

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Why These Related Problems?

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