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Finding the Third Proportional to 6,799 and 14,323

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Solution

The third proportional to 6,799 and 14,323 is: 30,173.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799 : 14,323 = 14,323 : x
  2. Step 2: Convert to fraction form
    6,799/14,323 = 14,323/x
  3. Step 3: Cross multiply
    6,799x = 14,323 × 14,323
  4. Step 4: Simplify right side
    6,799x = 205,148,329
  5. Step 5: Solve for x
    x = 205,148,329/6,799
  6. Step 6: Final answer
    x = 30,173.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.