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Finding the Third Proportional to 13,502 and 20,199

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Solution

The third proportional to 13,502 and 20,199 is: 30,217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502 : 20,199 = 20,199 : x
  2. Step 2: Convert to fraction form
    13,502/20,199 = 20,199/x
  3. Step 3: Cross multiply
    13,502x = 20,199 × 20,199
  4. Step 4: Simplify right side
    13,502x = 407,999,601
  5. Step 5: Solve for x
    x = 407,999,601/13,502
  6. Step 6: Final answer
    x = 30,217.72

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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.