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Finding the Third Proportional to 5,493.94 and 11,376.94

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Solution

The third proportional to 5,493.94 and 11,376.94 is: 23,559.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.94 : 11,376.94 = 11,376.94 : x
  2. Step 2: Convert to fraction form
    5,493.94/11,376.94 = 11,376.94/x
  3. Step 3: Cross multiply
    5,493.94x = 11,376.94 × 11,376.94
  4. Step 4: Simplify right side
    5,493.94x = 129,434,706.88
  5. Step 5: Solve for x
    x = 129,434,706.88/5,493.94
  6. Step 6: Final answer
    x = 23,559.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.