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Finding the Third Proportional to 886.06 and 1,940.09

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Solution

The third proportional to 886.06 and 1,940.09 is: 4,247.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.06 : 1,940.09 = 1,940.09 : x
  2. Step 2: Convert to fraction form
    886.06/1,940.09 = 1,940.09/x
  3. Step 3: Cross multiply
    886.06x = 1,940.09 × 1,940.09
  4. Step 4: Simplify right side
    886.06x = 3,763,963.76
  5. Step 5: Solve for x
    x = 3,763,963.76/886.06
  6. Step 6: Final answer
    x = 4,247.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.