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Finding the Third Proportional to 11,822.06 and 25,947.56

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Solution

The third proportional to 11,822.06 and 25,947.56 is: 56,950.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.06 : 25,947.56 = 25,947.56 : x
  2. Step 2: Convert to fraction form
    11,822.06/25,947.56 = 25,947.56/x
  3. Step 3: Cross multiply
    11,822.06x = 25,947.56 × 25,947.56
  4. Step 4: Simplify right side
    11,822.06x = 673,275,999.69
  5. Step 5: Solve for x
    x = 673,275,999.69/11,822.06
  6. Step 6: Final answer
    x = 56,950.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.