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Finding the Third Proportional to 13,812 and 22,236

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Solution

The third proportional to 13,812 and 22,236 is: 35,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812 : 22,236 = 22,236 : x
  2. Step 2: Convert to fraction form
    13,812/22,236 = 22,236/x
  3. Step 3: Cross multiply
    13,812x = 22,236 × 22,236
  4. Step 4: Simplify right side
    13,812x = 494,439,696
  5. Step 5: Solve for x
    x = 494,439,696/13,812
  6. Step 6: Final answer
    x = 35,797.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.