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Finding the Third Proportional to 853.25 and 1,825.75

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Solution

The third proportional to 853.25 and 1,825.75 is: 3,906.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.25 : 1,825.75 = 1,825.75 : x
  2. Step 2: Convert to fraction form
    853.25/1,825.75 = 1,825.75/x
  3. Step 3: Cross multiply
    853.25x = 1,825.75 × 1,825.75
  4. Step 4: Simplify right side
    853.25x = 3,333,363.06
  5. Step 5: Solve for x
    x = 3,333,363.06/853.25
  6. Step 6: Final answer
    x = 3,906.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.