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Finding the Third Proportional to 13,400 and 20,412

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Solution

The third proportional to 13,400 and 20,412 is: 31,093.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400 : 20,412 = 20,412 : x
  2. Step 2: Convert to fraction form
    13,400/20,412 = 20,412/x
  3. Step 3: Cross multiply
    13,400x = 20,412 × 20,412
  4. Step 4: Simplify right side
    13,400x = 416,649,744
  5. Step 5: Solve for x
    x = 416,649,744/13,400
  6. Step 6: Final answer
    x = 31,093.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.