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Finding the Third Proportional to 11,842 and 18,978

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Solution

The third proportional to 11,842 and 18,978 is: 30,414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842 : 18,978 = 18,978 : x
  2. Step 2: Convert to fraction form
    11,842/18,978 = 18,978/x
  3. Step 3: Cross multiply
    11,842x = 18,978 × 18,978
  4. Step 4: Simplify right side
    11,842x = 360,164,484
  5. Step 5: Solve for x
    x = 360,164,484/11,842
  6. Step 6: Final answer
    x = 30,414.16

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.