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Finding the Third Proportional to 4,986 and 12,042

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Solution

The third proportional to 4,986 and 12,042 is: 29,083.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986 : 12,042 = 12,042 : x
  2. Step 2: Convert to fraction form
    4,986/12,042 = 12,042/x
  3. Step 3: Cross multiply
    4,986x = 12,042 × 12,042
  4. Step 4: Simplify right side
    4,986x = 145,009,764
  5. Step 5: Solve for x
    x = 145,009,764/4,986
  6. Step 6: Final answer
    x = 29,083.39

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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.