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Finding the Third Proportional to 852.75 and 1,962

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Solution

The third proportional to 852.75 and 1,962 is: 4,514.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.75 : 1,962 = 1,962 : x
  2. Step 2: Convert to fraction form
    852.75/1,962 = 1,962/x
  3. Step 3: Cross multiply
    852.75x = 1,962 × 1,962
  4. Step 4: Simplify right side
    852.75x = 3,849,444
  5. Step 5: Solve for x
    x = 3,849,444/852.75
  6. Step 6: Final answer
    x = 4,514.15

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.