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Finding the Third Proportional to 5,879.50 and 12,238.25

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Solution

The third proportional to 5,879.50 and 12,238.25 is: 25,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.50 : 12,238.25 = 12,238.25 : x
  2. Step 2: Convert to fraction form
    5,879.50/12,238.25 = 12,238.25/x
  3. Step 3: Cross multiply
    5,879.50x = 12,238.25 × 12,238.25
  4. Step 4: Simplify right side
    5,879.50x = 149,774,763.06
  5. Step 5: Solve for x
    x = 149,774,763.06/5,879.50
  6. Step 6: Final answer
    x = 25,474.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.