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Finding the Third Proportional to 13,541 and 20,311

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Solution

The third proportional to 13,541 and 20,311 is: 30,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,541 : 20,311 = 20,311 : x
  2. Step 2: Convert to fraction form
    13,541/20,311 = 20,311/x
  3. Step 3: Cross multiply
    13,541x = 20,311 × 20,311
  4. Step 4: Simplify right side
    13,541x = 412,536,721
  5. Step 5: Solve for x
    x = 412,536,721/13,541
  6. Step 6: Final answer
    x = 30,465.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.