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Finding the Third Proportional to 14,094 and 32,771.25

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Solution

The third proportional to 14,094 and 32,771.25 is: 76,199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,094 : 32,771.25 = 32,771.25 : x
  2. Step 2: Convert to fraction form
    14,094/32,771.25 = 32,771.25/x
  3. Step 3: Cross multiply
    14,094x = 32,771.25 × 32,771.25
  4. Step 4: Simplify right side
    14,094x = 1,073,954,826.56
  5. Step 5: Solve for x
    x = 1,073,954,826.56/14,094
  6. Step 6: Final answer
    x = 76,199.43

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.