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Finding the Third Proportional to 13,676 and 30,025

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Solution

The third proportional to 13,676 and 30,025 is: 65,918.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676 : 30,025 = 30,025 : x
  2. Step 2: Convert to fraction form
    13,676/30,025 = 30,025/x
  3. Step 3: Cross multiply
    13,676x = 30,025 × 30,025
  4. Step 4: Simplify right side
    13,676x = 901,500,625
  5. Step 5: Solve for x
    x = 901,500,625/13,676
  6. Step 6: Final answer
    x = 65,918.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.