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Finding the Third Proportional to 2,243.00 and 5,238.95

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Solution

The third proportional to 2,243.00 and 5,238.95 is: 12,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.00 : 5,238.95 = 5,238.95 : x
  2. Step 2: Convert to fraction form
    2,243.00/5,238.95 = 5,238.95/x
  3. Step 3: Cross multiply
    2,243.00x = 5,238.95 × 5,238.95
  4. Step 4: Simplify right side
    2,243.00x = 27,446,588.92
  5. Step 5: Solve for x
    x = 27,446,588.92/2,243.00
  6. Step 6: Final answer
    x = 12,236.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.