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Finding the Third Proportional to 16,401 and 21,798

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Solution

The third proportional to 16,401 and 21,798 is: 28,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,401 : 21,798 = 21,798 : x
  2. Step 2: Convert to fraction form
    16,401/21,798 = 21,798/x
  3. Step 3: Cross multiply
    16,401x = 21,798 × 21,798
  4. Step 4: Simplify right side
    16,401x = 475,152,804
  5. Step 5: Solve for x
    x = 475,152,804/16,401
  6. Step 6: Final answer
    x = 28,970.97

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.