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Finding the Third Proportional to 852.75 and 1,725.75

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Solution

The third proportional to 852.75 and 1,725.75 is: 3,492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.75 : 1,725.75 = 1,725.75 : x
  2. Step 2: Convert to fraction form
    852.75/1,725.75 = 1,725.75/x
  3. Step 3: Cross multiply
    852.75x = 1,725.75 × 1,725.75
  4. Step 4: Simplify right side
    852.75x = 2,978,213.06
  5. Step 5: Solve for x
    x = 2,978,213.06/852.75
  6. Step 6: Final answer
    x = 3,492.48

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.