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Finding the Third Proportional to 13,986 and 21,114

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Solution

The third proportional to 13,986 and 21,114 is: 31,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986 : 21,114 = 21,114 : x
  2. Step 2: Convert to fraction form
    13,986/21,114 = 21,114/x
  3. Step 3: Cross multiply
    13,986x = 21,114 × 21,114
  4. Step 4: Simplify right side
    13,986x = 445,800,996
  5. Step 5: Solve for x
    x = 445,800,996/13,986
  6. Step 6: Final answer
    x = 31,874.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.