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Finding the Third Proportional to 13,740 and 18,474

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Solution

The third proportional to 13,740 and 18,474 is: 24,839.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740 : 18,474 = 18,474 : x
  2. Step 2: Convert to fraction form
    13,740/18,474 = 18,474/x
  3. Step 3: Cross multiply
    13,740x = 18,474 × 18,474
  4. Step 4: Simplify right side
    13,740x = 341,288,676
  5. Step 5: Solve for x
    x = 341,288,676/13,740
  6. Step 6: Final answer
    x = 24,839.06

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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.