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Finding the Third Proportional to 1,818.07 and 2,787.54

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Solution

The third proportional to 1,818.07 and 2,787.54 is: 4,273.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.07 : 2,787.54 = 2,787.54 : x
  2. Step 2: Convert to fraction form
    1,818.07/2,787.54 = 2,787.54/x
  3. Step 3: Cross multiply
    1,818.07x = 2,787.54 × 2,787.54
  4. Step 4: Simplify right side
    1,818.07x = 7,770,374.02
  5. Step 5: Solve for x
    x = 7,770,374.02/1,818.07
  6. Step 6: Final answer
    x = 4,273.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.