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Finding the Third Proportional to 851 and 1,891

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Solution

The third proportional to 851 and 1,891 is: 4,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    851 : 1,891 = 1,891 : x
  2. Step 2: Convert to fraction form
    851/1,891 = 1,891/x
  3. Step 3: Cross multiply
    851x = 1,891 × 1,891
  4. Step 4: Simplify right side
    851x = 3,575,881
  5. Step 5: Solve for x
    x = 3,575,881/851
  6. Step 6: Final answer
    x = 4,201.98

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.