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Finding the Third Proportional to 852.56 and 1,855.29

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Solution

The third proportional to 852.56 and 1,855.29 is: 4,037.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.56 : 1,855.29 = 1,855.29 : x
  2. Step 2: Convert to fraction form
    852.56/1,855.29 = 1,855.29/x
  3. Step 3: Cross multiply
    852.56x = 1,855.29 × 1,855.29
  4. Step 4: Simplify right side
    852.56x = 3,442,110.41
  5. Step 5: Solve for x
    x = 3,442,110.41/852.56
  6. Step 6: Final answer
    x = 4,037.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.