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Finding the Third Proportional to 8,968 and 12,236

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Solution

The third proportional to 8,968 and 12,236 is: 16,694.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,968 : 12,236 = 12,236 : x
  2. Step 2: Convert to fraction form
    8,968/12,236 = 12,236/x
  3. Step 3: Cross multiply
    8,968x = 12,236 × 12,236
  4. Step 4: Simplify right side
    8,968x = 149,719,696
  5. Step 5: Solve for x
    x = 149,719,696/8,968
  6. Step 6: Final answer
    x = 16,694.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.