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Finding the Third Proportional to 852.25 and 1,806.75

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Solution

The third proportional to 852.25 and 1,806.75 is: 3,830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.25 : 1,806.75 = 1,806.75 : x
  2. Step 2: Convert to fraction form
    852.25/1,806.75 = 1,806.75/x
  3. Step 3: Cross multiply
    852.25x = 1,806.75 × 1,806.75
  4. Step 4: Simplify right side
    852.25x = 3,264,345.56
  5. Step 5: Solve for x
    x = 3,264,345.56/852.25
  6. Step 6: Final answer
    x = 3,830.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.