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Finding the Third Proportional to 13,938 and 30,978

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Solution

The third proportional to 13,938 and 30,978 is: 68,850.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,938 : 30,978 = 30,978 : x
  2. Step 2: Convert to fraction form
    13,938/30,978 = 30,978/x
  3. Step 3: Cross multiply
    13,938x = 30,978 × 30,978
  4. Step 4: Simplify right side
    13,938x = 959,636,484
  5. Step 5: Solve for x
    x = 959,636,484/13,938
  6. Step 6: Final answer
    x = 68,850.37

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.