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Finding the Third Proportional to 13,219 and 21,252

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Solution

The third proportional to 13,219 and 21,252 is: 34,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219 : 21,252 = 21,252 : x
  2. Step 2: Convert to fraction form
    13,219/21,252 = 21,252/x
  3. Step 3: Cross multiply
    13,219x = 21,252 × 21,252
  4. Step 4: Simplify right side
    13,219x = 451,647,504
  5. Step 5: Solve for x
    x = 451,647,504/13,219
  6. Step 6: Final answer
    x = 34,166.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.