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Finding the Third Proportional to 20,424 and 43,978

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Solution

The third proportional to 20,424 and 43,978 is: 94,695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,424 : 43,978 = 43,978 : x
  2. Step 2: Convert to fraction form
    20,424/43,978 = 43,978/x
  3. Step 3: Cross multiply
    20,424x = 43,978 × 43,978
  4. Step 4: Simplify right side
    20,424x = 1,934,064,484
  5. Step 5: Solve for x
    x = 1,934,064,484/20,424
  6. Step 6: Final answer
    x = 94,695.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.