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Finding the Third Proportional to 11,037.52 and 23,723.82

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Solution

The third proportional to 11,037.52 and 23,723.82 is: 50,991.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,037.52 : 23,723.82 = 23,723.82 : x
  2. Step 2: Convert to fraction form
    11,037.52/23,723.82 = 23,723.82/x
  3. Step 3: Cross multiply
    11,037.52x = 23,723.82 × 23,723.82
  4. Step 4: Simplify right side
    11,037.52x = 562,819,835.56
  5. Step 5: Solve for x
    x = 562,819,835.56/11,037.52
  6. Step 6: Final answer
    x = 50,991.53

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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.