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Finding the Third Proportional to 13,450 and 17,978

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Solution

The third proportional to 13,450 and 17,978 is: 24,030.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450 : 17,978 = 17,978 : x
  2. Step 2: Convert to fraction form
    13,450/17,978 = 17,978/x
  3. Step 3: Cross multiply
    13,450x = 17,978 × 17,978
  4. Step 4: Simplify right side
    13,450x = 323,208,484
  5. Step 5: Solve for x
    x = 323,208,484/13,450
  6. Step 6: Final answer
    x = 24,030.37

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.