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Finding the Third Proportional to 850.69 and 1,336.88

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Solution

The third proportional to 850.69 and 1,336.88 is: 2,100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.69 : 1,336.88 = 1,336.88 : x
  2. Step 2: Convert to fraction form
    850.69/1,336.88 = 1,336.88/x
  3. Step 3: Cross multiply
    850.69x = 1,336.88 × 1,336.88
  4. Step 4: Simplify right side
    850.69x = 1,787,234.77
  5. Step 5: Solve for x
    x = 1,787,234.77/850.69
  6. Step 6: Final answer
    x = 2,100.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.