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Finding the Third Proportional to 852.94 and 1,837.31

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Solution

The third proportional to 852.94 and 1,837.31 is: 3,957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.94 : 1,837.31 = 1,837.31 : x
  2. Step 2: Convert to fraction form
    852.94/1,837.31 = 1,837.31/x
  3. Step 3: Cross multiply
    852.94x = 1,837.31 × 1,837.31
  4. Step 4: Simplify right side
    852.94x = 3,375,717.22
  5. Step 5: Solve for x
    x = 3,375,717.22/852.94
  6. Step 6: Final answer
    x = 3,957.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.