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Finding the Third Proportional to 1,994.85 and 3,186.89

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Solution

The third proportional to 1,994.85 and 3,186.89 is: 5,091.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.85 : 3,186.89 = 3,186.89 : x
  2. Step 2: Convert to fraction form
    1,994.85/3,186.89 = 3,186.89/x
  3. Step 3: Cross multiply
    1,994.85x = 3,186.89 × 3,186.89
  4. Step 4: Simplify right side
    1,994.85x = 10,156,296.07
  5. Step 5: Solve for x
    x = 10,156,296.07/1,994.85
  6. Step 6: Final answer
    x = 5,091.26

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.