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Finding the Third Proportional to 6,786 and 16,343

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Solution

The third proportional to 6,786 and 16,343 is: 39,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786 : 16,343 = 16,343 : x
  2. Step 2: Convert to fraction form
    6,786/16,343 = 16,343/x
  3. Step 3: Cross multiply
    6,786x = 16,343 × 16,343
  4. Step 4: Simplify right side
    6,786x = 267,093,649
  5. Step 5: Solve for x
    x = 267,093,649/6,786
  6. Step 6: Final answer
    x = 39,359.51

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.