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Finding the Third Proportional to 1,283.06 and 2,856.94

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Solution

The third proportional to 1,283.06 and 2,856.94 is: 6,361.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.06 : 2,856.94 = 2,856.94 : x
  2. Step 2: Convert to fraction form
    1,283.06/2,856.94 = 2,856.94/x
  3. Step 3: Cross multiply
    1,283.06x = 2,856.94 × 2,856.94
  4. Step 4: Simplify right side
    1,283.06x = 8,162,091.88
  5. Step 5: Solve for x
    x = 8,162,091.88/1,283.06
  6. Step 6: Final answer
    x = 6,361.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.