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Finding the Third Proportional to 23,874.75 and 51,900.75

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Solution

The third proportional to 23,874.75 and 51,900.75 is: 112,825.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.75 : 51,900.75 = 51,900.75 : x
  2. Step 2: Convert to fraction form
    23,874.75/51,900.75 = 51,900.75/x
  3. Step 3: Cross multiply
    23,874.75x = 51,900.75 × 51,900.75
  4. Step 4: Simplify right side
    23,874.75x = 2,693,687,850.56
  5. Step 5: Solve for x
    x = 2,693,687,850.56/23,874.75
  6. Step 6: Final answer
    x = 112,825.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.