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Finding the Third Proportional to 14,096 and 30,622

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Solution

The third proportional to 14,096 and 30,622 is: 66,522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096 : 30,622 = 30,622 : x
  2. Step 2: Convert to fraction form
    14,096/30,622 = 30,622/x
  3. Step 3: Cross multiply
    14,096x = 30,622 × 30,622
  4. Step 4: Simplify right side
    14,096x = 937,706,884
  5. Step 5: Solve for x
    x = 937,706,884/14,096
  6. Step 6: Final answer
    x = 66,522.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.