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Finding the Third Proportional to 893.53 and 1,855.41

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Solution

The third proportional to 893.53 and 1,855.41 is: 3,852.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.53 : 1,855.41 = 1,855.41 : x
  2. Step 2: Convert to fraction form
    893.53/1,855.41 = 1,855.41/x
  3. Step 3: Cross multiply
    893.53x = 1,855.41 × 1,855.41
  4. Step 4: Simplify right side
    893.53x = 3,442,532.35
  5. Step 5: Solve for x
    x = 3,442,532.35/893.53
  6. Step 6: Final answer
    x = 3,852.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.