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Finding the Third Proportional to 1,382.63 and 2,694.94

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Solution

The third proportional to 1,382.63 and 2,694.94 is: 5,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.63 : 2,694.94 = 2,694.94 : x
  2. Step 2: Convert to fraction form
    1,382.63/2,694.94 = 2,694.94/x
  3. Step 3: Cross multiply
    1,382.63x = 2,694.94 × 2,694.94
  4. Step 4: Simplify right side
    1,382.63x = 7,262,688.13
  5. Step 5: Solve for x
    x = 7,262,688.13/1,382.63
  6. Step 6: Final answer
    x = 5,252.83

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.