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Finding the Third Proportional to 1,841.06 and 2,844.56

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Solution

The third proportional to 1,841.06 and 2,844.56 is: 4,395.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.06 : 2,844.56 = 2,844.56 : x
  2. Step 2: Convert to fraction form
    1,841.06/2,844.56 = 2,844.56/x
  3. Step 3: Cross multiply
    1,841.06x = 2,844.56 × 2,844.56
  4. Step 4: Simplify right side
    1,841.06x = 8,091,535.82
  5. Step 5: Solve for x
    x = 8,091,535.82/1,841.06
  6. Step 6: Final answer
    x = 4,395.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.