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Finding the Third Proportional to 12,286 and 16,683

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Solution

The third proportional to 12,286 and 16,683 is: 22,653.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286 : 16,683 = 16,683 : x
  2. Step 2: Convert to fraction form
    12,286/16,683 = 16,683/x
  3. Step 3: Cross multiply
    12,286x = 16,683 × 16,683
  4. Step 4: Simplify right side
    12,286x = 278,322,489
  5. Step 5: Solve for x
    x = 278,322,489/12,286
  6. Step 6: Final answer
    x = 22,653.63

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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.