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Finding the Third Proportional to 13,828.50 and 22,245.75

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Solution

The third proportional to 13,828.50 and 22,245.75 is: 35,786.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828.50 : 22,245.75 = 22,245.75 : x
  2. Step 2: Convert to fraction form
    13,828.50/22,245.75 = 22,245.75/x
  3. Step 3: Cross multiply
    13,828.50x = 22,245.75 × 22,245.75
  4. Step 4: Simplify right side
    13,828.50x = 494,873,393.06
  5. Step 5: Solve for x
    x = 494,873,393.06/13,828.50
  6. Step 6: Final answer
    x = 35,786.48

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.