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Finding the Third Proportional to 1,991.22 and 3,072.62

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Solution

The third proportional to 1,991.22 and 3,072.62 is: 4,741.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.22 : 3,072.62 = 3,072.62 : x
  2. Step 2: Convert to fraction form
    1,991.22/3,072.62 = 3,072.62/x
  3. Step 3: Cross multiply
    1,991.22x = 3,072.62 × 3,072.62
  4. Step 4: Simplify right side
    1,991.22x = 9,441,000.39
  5. Step 5: Solve for x
    x = 9,441,000.39/1,991.22
  6. Step 6: Final answer
    x = 4,741.31

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.