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Finding the Third Proportional to 13,684 and 18,102

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Solution

The third proportional to 13,684 and 18,102 is: 23,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684 : 18,102 = 18,102 : x
  2. Step 2: Convert to fraction form
    13,684/18,102 = 18,102/x
  3. Step 3: Cross multiply
    13,684x = 18,102 × 18,102
  4. Step 4: Simplify right side
    13,684x = 327,682,404
  5. Step 5: Solve for x
    x = 327,682,404/13,684
  6. Step 6: Final answer
    x = 23,946.39

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.