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Finding the Third Proportional to 852.25 and 2,000.75

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Solution

The third proportional to 852.25 and 2,000.75 is: 4,696.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.25 : 2,000.75 = 2,000.75 : x
  2. Step 2: Convert to fraction form
    852.25/2,000.75 = 2,000.75/x
  3. Step 3: Cross multiply
    852.25x = 2,000.75 × 2,000.75
  4. Step 4: Simplify right side
    852.25x = 4,003,000.56
  5. Step 5: Solve for x
    x = 4,003,000.56/852.25
  6. Step 6: Final answer
    x = 4,696.98

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.