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Finding the Third Proportional to 5,027.06 and 10,825.31

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Solution

The third proportional to 5,027.06 and 10,825.31 is: 23,311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027.06 : 10,825.31 = 10,825.31 : x
  2. Step 2: Convert to fraction form
    5,027.06/10,825.31 = 10,825.31/x
  3. Step 3: Cross multiply
    5,027.06x = 10,825.31 × 10,825.31
  4. Step 4: Simplify right side
    5,027.06x = 117,187,390.72
  5. Step 5: Solve for x
    x = 117,187,390.72/5,027.06
  6. Step 6: Final answer
    x = 23,311.31

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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.