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Finding the Third Proportional to 852.38 and 1,286.06

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Solution

The third proportional to 852.38 and 1,286.06 is: 1,940.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.38 : 1,286.06 = 1,286.06 : x
  2. Step 2: Convert to fraction form
    852.38/1,286.06 = 1,286.06/x
  3. Step 3: Cross multiply
    852.38x = 1,286.06 × 1,286.06
  4. Step 4: Simplify right side
    852.38x = 1,653,956.75
  5. Step 5: Solve for x
    x = 1,653,956.75/852.38
  6. Step 6: Final answer
    x = 1,940.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.