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Finding the Third Proportional to 13,420 and 18,000

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Solution

The third proportional to 13,420 and 18,000 is: 24,143.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420 : 18,000 = 18,000 : x
  2. Step 2: Convert to fraction form
    13,420/18,000 = 18,000/x
  3. Step 3: Cross multiply
    13,420x = 18,000 × 18,000
  4. Step 4: Simplify right side
    13,420x = 324,000,000
  5. Step 5: Solve for x
    x = 324,000,000/13,420
  6. Step 6: Final answer
    x = 24,143.07

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.