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Finding the Third Proportional to 893.21 and 1,829.14

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Solution

The third proportional to 893.21 and 1,829.14 is: 3,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.21 : 1,829.14 = 1,829.14 : x
  2. Step 2: Convert to fraction form
    893.21/1,829.14 = 1,829.14/x
  3. Step 3: Cross multiply
    893.21x = 1,829.14 × 1,829.14
  4. Step 4: Simplify right side
    893.21x = 3,345,769.72
  5. Step 5: Solve for x
    x = 3,345,769.72/893.21
  6. Step 6: Final answer
    x = 3,745.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.