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Finding the Third Proportional to 2,226.94 and 3,461.63

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Solution

The third proportional to 2,226.94 and 3,461.63 is: 5,380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.94 : 3,461.63 = 3,461.63 : x
  2. Step 2: Convert to fraction form
    2,226.94/3,461.63 = 3,461.63/x
  3. Step 3: Cross multiply
    2,226.94x = 3,461.63 × 3,461.63
  4. Step 4: Simplify right side
    2,226.94x = 11,982,847.64
  5. Step 5: Solve for x
    x = 11,982,847.64/2,226.94
  6. Step 6: Final answer
    x = 5,380.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.