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Finding the Third Proportional to 11,379.75 and 23,306.25

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Solution

The third proportional to 11,379.75 and 23,306.25 is: 47,732.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,379.75 : 23,306.25 = 23,306.25 : x
  2. Step 2: Convert to fraction form
    11,379.75/23,306.25 = 23,306.25/x
  3. Step 3: Cross multiply
    11,379.75x = 23,306.25 × 23,306.25
  4. Step 4: Simplify right side
    11,379.75x = 543,181,289.06
  5. Step 5: Solve for x
    x = 543,181,289.06/11,379.75
  6. Step 6: Final answer
    x = 47,732.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.