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Finding the Third Proportional to 23,883.75 and 51,462.56

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Solution

The third proportional to 23,883.75 and 51,462.56 is: 110,886.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,883.75 : 51,462.56 = 51,462.56 : x
  2. Step 2: Convert to fraction form
    23,883.75/51,462.56 = 51,462.56/x
  3. Step 3: Cross multiply
    23,883.75x = 51,462.56 × 51,462.56
  4. Step 4: Simplify right side
    23,883.75x = 2,648,395,339.07
  5. Step 5: Solve for x
    x = 2,648,395,339.07/23,883.75
  6. Step 6: Final answer
    x = 110,886.91

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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.