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Finding the Third Proportional to 855.98 and 2,056.43

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Solution

The third proportional to 855.98 and 2,056.43 is: 4,940.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.98 : 2,056.43 = 2,056.43 : x
  2. Step 2: Convert to fraction form
    855.98/2,056.43 = 2,056.43/x
  3. Step 3: Cross multiply
    855.98x = 2,056.43 × 2,056.43
  4. Step 4: Simplify right side
    855.98x = 4,228,903.06
  5. Step 5: Solve for x
    x = 4,228,903.06/855.98
  6. Step 6: Final answer
    x = 4,940.40

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.