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Finding the Third Proportional to 8,213 and 12,318

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Solution

The third proportional to 8,213 and 12,318 is: 18,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213 : 12,318 = 12,318 : x
  2. Step 2: Convert to fraction form
    8,213/12,318 = 12,318/x
  3. Step 3: Cross multiply
    8,213x = 12,318 × 12,318
  4. Step 4: Simplify right side
    8,213x = 151,733,124
  5. Step 5: Solve for x
    x = 151,733,124/8,213
  6. Step 6: Final answer
    x = 18,474.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.