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Finding the Third Proportional to 17,963 and 19,799

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Solution

The third proportional to 17,963 and 19,799 is: 21,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,963 : 19,799 = 19,799 : x
  2. Step 2: Convert to fraction form
    17,963/19,799 = 19,799/x
  3. Step 3: Cross multiply
    17,963x = 19,799 × 19,799
  4. Step 4: Simplify right side
    17,963x = 392,000,401
  5. Step 5: Solve for x
    x = 392,000,401/17,963
  6. Step 6: Final answer
    x = 21,822.66

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