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Finding the Third Proportional to 13,096 and 30,894

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Solution

The third proportional to 13,096 and 30,894 is: 72,880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096 : 30,894 = 30,894 : x
  2. Step 2: Convert to fraction form
    13,096/30,894 = 30,894/x
  3. Step 3: Cross multiply
    13,096x = 30,894 × 30,894
  4. Step 4: Simplify right side
    13,096x = 954,439,236
  5. Step 5: Solve for x
    x = 954,439,236/13,096
  6. Step 6: Final answer
    x = 72,880.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.