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Finding the Third Proportional to 11,323.69 and 23,770.69

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Solution

The third proportional to 11,323.69 and 23,770.69 is: 49,899.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.69 : 23,770.69 = 23,770.69 : x
  2. Step 2: Convert to fraction form
    11,323.69/23,770.69 = 23,770.69/x
  3. Step 3: Cross multiply
    11,323.69x = 23,770.69 × 23,770.69
  4. Step 4: Simplify right side
    11,323.69x = 565,045,584.22
  5. Step 5: Solve for x
    x = 565,045,584.22/11,323.69
  6. Step 6: Final answer
    x = 49,899.43

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.