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Finding the Third Proportional to 8,015 and 12,401

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Solution

The third proportional to 8,015 and 12,401 is: 19,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,015 : 12,401 = 12,401 : x
  2. Step 2: Convert to fraction form
    8,015/12,401 = 12,401/x
  3. Step 3: Cross multiply
    8,015x = 12,401 × 12,401
  4. Step 4: Simplify right side
    8,015x = 153,784,801
  5. Step 5: Solve for x
    x = 153,784,801/8,015
  6. Step 6: Final answer
    x = 19,187.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.