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Finding the Third Proportional to 837 and 2,266.50

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Solution

The third proportional to 837 and 2,266.50 is: 6,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    837 : 2,266.50 = 2,266.50 : x
  2. Step 2: Convert to fraction form
    837/2,266.50 = 2,266.50/x
  3. Step 3: Cross multiply
    837x = 2,266.50 × 2,266.50
  4. Step 4: Simplify right side
    837x = 5,137,022.25
  5. Step 5: Solve for x
    x = 5,137,022.25/837
  6. Step 6: Final answer
    x = 6,137.42

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.