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Finding the Third Proportional to 4,978 and 12,029

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Solution

The third proportional to 4,978 and 12,029 is: 29,067.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978 : 12,029 = 12,029 : x
  2. Step 2: Convert to fraction form
    4,978/12,029 = 12,029/x
  3. Step 3: Cross multiply
    4,978x = 12,029 × 12,029
  4. Step 4: Simplify right side
    4,978x = 144,696,841
  5. Step 5: Solve for x
    x = 144,696,841/4,978
  6. Step 6: Final answer
    x = 29,067.26

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.