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Finding the Third Proportional to 23,924.50 and 51,996

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Solution

The third proportional to 23,924.50 and 51,996 is: 113,004.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,924.50 : 51,996 = 51,996 : x
  2. Step 2: Convert to fraction form
    23,924.50/51,996 = 51,996/x
  3. Step 3: Cross multiply
    23,924.50x = 51,996 × 51,996
  4. Step 4: Simplify right side
    23,924.50x = 2,703,584,016
  5. Step 5: Solve for x
    x = 2,703,584,016/23,924.50
  6. Step 6: Final answer
    x = 113,004.83

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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.