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Finding the Third Proportional to 1,287.94 and 2,022.56

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Solution

The third proportional to 1,287.94 and 2,022.56 is: 3,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.94 : 2,022.56 = 2,022.56 : x
  2. Step 2: Convert to fraction form
    1,287.94/2,022.56 = 2,022.56/x
  3. Step 3: Cross multiply
    1,287.94x = 2,022.56 × 2,022.56
  4. Step 4: Simplify right side
    1,287.94x = 4,090,759.07
  5. Step 5: Solve for x
    x = 4,090,759.07/1,287.94
  6. Step 6: Final answer
    x = 3,176.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.