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Finding the Third Proportional to 13,989 and 30,771

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Solution

The third proportional to 13,989 and 30,771 is: 67,685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,989 : 30,771 = 30,771 : x
  2. Step 2: Convert to fraction form
    13,989/30,771 = 30,771/x
  3. Step 3: Cross multiply
    13,989x = 30,771 × 30,771
  4. Step 4: Simplify right side
    13,989x = 946,854,441
  5. Step 5: Solve for x
    x = 946,854,441/13,989
  6. Step 6: Final answer
    x = 67,685.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.