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Finding the Third Proportional to 893.94 and 1,896.06

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Solution

The third proportional to 893.94 and 1,896.06 is: 4,021.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.94 : 1,896.06 = 1,896.06 : x
  2. Step 2: Convert to fraction form
    893.94/1,896.06 = 1,896.06/x
  3. Step 3: Cross multiply
    893.94x = 1,896.06 × 1,896.06
  4. Step 4: Simplify right side
    893.94x = 3,595,053.00
  5. Step 5: Solve for x
    x = 3,595,053.00/893.94
  6. Step 6: Final answer
    x = 4,021.59

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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.