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Finding the Third Proportional to 11,178 and 23,978

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Solution

The third proportional to 11,178 and 23,978 is: 51,435.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178 : 23,978 = 23,978 : x
  2. Step 2: Convert to fraction form
    11,178/23,978 = 23,978/x
  3. Step 3: Cross multiply
    11,178x = 23,978 × 23,978
  4. Step 4: Simplify right side
    11,178x = 574,944,484
  5. Step 5: Solve for x
    x = 574,944,484/11,178
  6. Step 6: Final answer
    x = 51,435.36

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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.