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Finding the Third Proportional to 1,959.82 and 2,991.62

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Solution

The third proportional to 1,959.82 and 2,991.62 is: 4,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.82 : 2,991.62 = 2,991.62 : x
  2. Step 2: Convert to fraction form
    1,959.82/2,991.62 = 2,991.62/x
  3. Step 3: Cross multiply
    1,959.82x = 2,991.62 × 2,991.62
  4. Step 4: Simplify right side
    1,959.82x = 8,949,796.77
  5. Step 5: Solve for x
    x = 8,949,796.77/1,959.82
  6. Step 6: Final answer
    x = 4,566.64

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.