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Finding the Third Proportional to 986.24 and 2,168.96

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Solution

The third proportional to 986.24 and 2,168.96 is: 4,770.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.24 : 2,168.96 = 2,168.96 : x
  2. Step 2: Convert to fraction form
    986.24/2,168.96 = 2,168.96/x
  3. Step 3: Cross multiply
    986.24x = 2,168.96 × 2,168.96
  4. Step 4: Simplify right side
    986.24x = 4,704,408.49
  5. Step 5: Solve for x
    x = 4,704,408.49/986.24
  6. Step 6: Final answer
    x = 4,770.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.