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Finding the Third Proportional to 4,796.25 and 11,211.75

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Solution

The third proportional to 4,796.25 and 11,211.75 is: 26,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.25 : 11,211.75 = 11,211.75 : x
  2. Step 2: Convert to fraction form
    4,796.25/11,211.75 = 11,211.75/x
  3. Step 3: Cross multiply
    4,796.25x = 11,211.75 × 11,211.75
  4. Step 4: Simplify right side
    4,796.25x = 125,703,338.06
  5. Step 5: Solve for x
    x = 125,703,338.06/4,796.25
  6. Step 6: Final answer
    x = 26,208.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.