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Finding the Third Proportional to 6,010.31 and 13,078.83

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Solution

The third proportional to 6,010.31 and 13,078.83 is: 28,460.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,010.31 : 13,078.83 = 13,078.83 : x
  2. Step 2: Convert to fraction form
    6,010.31/13,078.83 = 13,078.83/x
  3. Step 3: Cross multiply
    6,010.31x = 13,078.83 × 13,078.83
  4. Step 4: Simplify right side
    6,010.31x = 171,055,745.12
  5. Step 5: Solve for x
    x = 171,055,745.12/6,010.31
  6. Step 6: Final answer
    x = 28,460.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.