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Finding the Third Proportional to 13,923 and 20,116.50

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Solution

The third proportional to 13,923 and 20,116.50 is: 29,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923 : 20,116.50 = 20,116.50 : x
  2. Step 2: Convert to fraction form
    13,923/20,116.50 = 20,116.50/x
  3. Step 3: Cross multiply
    13,923x = 20,116.50 × 20,116.50
  4. Step 4: Simplify right side
    13,923x = 404,673,572.25
  5. Step 5: Solve for x
    x = 404,673,572.25/13,923
  6. Step 6: Final answer
    x = 29,065.11

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.