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Finding the Third Proportional to 13,500 and 20,196

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Solution

The third proportional to 13,500 and 20,196 is: 30,213.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500 : 20,196 = 20,196 : x
  2. Step 2: Convert to fraction form
    13,500/20,196 = 20,196/x
  3. Step 3: Cross multiply
    13,500x = 20,196 × 20,196
  4. Step 4: Simplify right side
    13,500x = 407,878,416
  5. Step 5: Solve for x
    x = 407,878,416/13,500
  6. Step 6: Final answer
    x = 30,213.22

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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.