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Finding the Third Proportional to 13,424 and 18,200

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Solution

The third proportional to 13,424 and 18,200 is: 24,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424 : 18,200 = 18,200 : x
  2. Step 2: Convert to fraction form
    13,424/18,200 = 18,200/x
  3. Step 3: Cross multiply
    13,424x = 18,200 × 18,200
  4. Step 4: Simplify right side
    13,424x = 331,240,000
  5. Step 5: Solve for x
    x = 331,240,000/13,424
  6. Step 6: Final answer
    x = 24,675.21

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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.