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Finding the Third Proportional to 12,722 and 17,851

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Solution

The third proportional to 12,722 and 17,851 is: 25,047.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722 : 17,851 = 17,851 : x
  2. Step 2: Convert to fraction form
    12,722/17,851 = 17,851/x
  3. Step 3: Cross multiply
    12,722x = 17,851 × 17,851
  4. Step 4: Simplify right side
    12,722x = 318,658,201
  5. Step 5: Solve for x
    x = 318,658,201/12,722
  6. Step 6: Final answer
    x = 25,047.81

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.