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Finding the Third Proportional to 23,544 and 50,935.50

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Solution

The third proportional to 23,544 and 50,935.50 is: 110,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,544 : 50,935.50 = 50,935.50 : x
  2. Step 2: Convert to fraction form
    23,544/50,935.50 = 50,935.50/x
  3. Step 3: Cross multiply
    23,544x = 50,935.50 × 50,935.50
  4. Step 4: Simplify right side
    23,544x = 2,594,425,160.25
  5. Step 5: Solve for x
    x = 2,594,425,160.25/23,544
  6. Step 6: Final answer
    x = 110,194.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.