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Finding the Third Proportional to 19,923 and 46,963.50

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Solution

The third proportional to 19,923 and 46,963.50 is: 110,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,923 : 46,963.50 = 46,963.50 : x
  2. Step 2: Convert to fraction form
    19,923/46,963.50 = 46,963.50/x
  3. Step 3: Cross multiply
    19,923x = 46,963.50 × 46,963.50
  4. Step 4: Simplify right side
    19,923x = 2,205,570,332.25
  5. Step 5: Solve for x
    x = 2,205,570,332.25/19,923
  6. Step 6: Final answer
    x = 110,704.73

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.