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Finding the Third Proportional to 12,250.50 and 16,401

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Solution

The third proportional to 12,250.50 and 16,401 is: 21,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,250.50 : 16,401 = 16,401 : x
  2. Step 2: Convert to fraction form
    12,250.50/16,401 = 16,401/x
  3. Step 3: Cross multiply
    12,250.50x = 16,401 × 16,401
  4. Step 4: Simplify right side
    12,250.50x = 268,992,801
  5. Step 5: Solve for x
    x = 268,992,801/12,250.50
  6. Step 6: Final answer
    x = 21,957.70

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.