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Finding the Third Proportional to 13,422 and 14,799

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Solution

The third proportional to 13,422 and 14,799 is: 16,317.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422 : 14,799 = 14,799 : x
  2. Step 2: Convert to fraction form
    13,422/14,799 = 14,799/x
  3. Step 3: Cross multiply
    13,422x = 14,799 × 14,799
  4. Step 4: Simplify right side
    13,422x = 219,010,401
  5. Step 5: Solve for x
    x = 219,010,401/13,422
  6. Step 6: Final answer
    x = 16,317.27

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.