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Finding the Third Proportional to 1,285.03 and 1,837.27

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Solution

The third proportional to 1,285.03 and 1,837.27 is: 2,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.03 : 1,837.27 = 1,837.27 : x
  2. Step 2: Convert to fraction form
    1,285.03/1,837.27 = 1,837.27/x
  3. Step 3: Cross multiply
    1,285.03x = 1,837.27 × 1,837.27
  4. Step 4: Simplify right side
    1,285.03x = 3,375,544.98
  5. Step 5: Solve for x
    x = 3,375,544.98/1,285.03
  6. Step 6: Final answer
    x = 2,626.82

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.