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Finding the Third Proportional to 23,037.75 and 30,273.75

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Solution

The third proportional to 23,037.75 and 30,273.75 is: 39,782.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,037.75 : 30,273.75 = 30,273.75 : x
  2. Step 2: Convert to fraction form
    23,037.75/30,273.75 = 30,273.75/x
  3. Step 3: Cross multiply
    23,037.75x = 30,273.75 × 30,273.75
  4. Step 4: Simplify right side
    23,037.75x = 916,499,939.06
  5. Step 5: Solve for x
    x = 916,499,939.06/23,037.75
  6. Step 6: Final answer
    x = 39,782.53

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.