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Finding the Third Proportional to 5,314.88 and 11,205.94

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Solution

The third proportional to 5,314.88 and 11,205.94 is: 23,626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.88 : 11,205.94 = 11,205.94 : x
  2. Step 2: Convert to fraction form
    5,314.88/11,205.94 = 11,205.94/x
  3. Step 3: Cross multiply
    5,314.88x = 11,205.94 × 11,205.94
  4. Step 4: Simplify right side
    5,314.88x = 125,573,035.25
  5. Step 5: Solve for x
    x = 125,573,035.25/5,314.88
  6. Step 6: Final answer
    x = 23,626.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.