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Finding the Third Proportional to 2,640.94 and 4,112.96

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Solution

The third proportional to 2,640.94 and 4,112.96 is: 6,405.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.94 : 4,112.96 = 4,112.96 : x
  2. Step 2: Convert to fraction form
    2,640.94/4,112.96 = 4,112.96/x
  3. Step 3: Cross multiply
    2,640.94x = 4,112.96 × 4,112.96
  4. Step 4: Simplify right side
    2,640.94x = 16,916,479.81
  5. Step 5: Solve for x
    x = 16,916,479.81/2,640.94
  6. Step 6: Final answer
    x = 6,405.48

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.