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Finding the Third Proportional to 13,771.50 and 20,009.25

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Solution

The third proportional to 13,771.50 and 20,009.25 is: 29,072.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.50 : 20,009.25 = 20,009.25 : x
  2. Step 2: Convert to fraction form
    13,771.50/20,009.25 = 20,009.25/x
  3. Step 3: Cross multiply
    13,771.50x = 20,009.25 × 20,009.25
  4. Step 4: Simplify right side
    13,771.50x = 400,370,085.56
  5. Step 5: Solve for x
    x = 400,370,085.56/13,771.50
  6. Step 6: Final answer
    x = 29,072.37

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.