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Finding the Third Proportional to 5,529.94 and 12,171.09

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Solution

The third proportional to 5,529.94 and 12,171.09 is: 26,787.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,529.94 : 12,171.09 = 12,171.09 : x
  2. Step 2: Convert to fraction form
    5,529.94/12,171.09 = 12,171.09/x
  3. Step 3: Cross multiply
    5,529.94x = 12,171.09 × 12,171.09
  4. Step 4: Simplify right side
    5,529.94x = 148,135,523.07
  5. Step 5: Solve for x
    x = 148,135,523.07/5,529.94
  6. Step 6: Final answer
    x = 26,787.92

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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.