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Finding the Third Proportional to 6,212 and 13,517

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Solution

The third proportional to 6,212 and 13,517 is: 29,412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212 : 13,517 = 13,517 : x
  2. Step 2: Convert to fraction form
    6,212/13,517 = 13,517/x
  3. Step 3: Cross multiply
    6,212x = 13,517 × 13,517
  4. Step 4: Simplify right side
    6,212x = 182,709,289
  5. Step 5: Solve for x
    x = 182,709,289/6,212
  6. Step 6: Final answer
    x = 29,412.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.