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Finding the Third Proportional to 893.81 and 1,965.94

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Solution

The third proportional to 893.81 and 1,965.94 is: 4,324.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.81 : 1,965.94 = 1,965.94 : x
  2. Step 2: Convert to fraction form
    893.81/1,965.94 = 1,965.94/x
  3. Step 3: Cross multiply
    893.81x = 1,965.94 × 1,965.94
  4. Step 4: Simplify right side
    893.81x = 3,864,910.25
  5. Step 5: Solve for x
    x = 3,864,910.25/893.81
  6. Step 6: Final answer
    x = 4,324.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.