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Finding the Third Proportional to 17,923 and 27,808.50

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Solution

The third proportional to 17,923 and 27,808.50 is: 43,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,923 : 27,808.50 = 27,808.50 : x
  2. Step 2: Convert to fraction form
    17,923/27,808.50 = 27,808.50/x
  3. Step 3: Cross multiply
    17,923x = 27,808.50 × 27,808.50
  4. Step 4: Simplify right side
    17,923x = 773,312,672.25
  5. Step 5: Solve for x
    x = 773,312,672.25/17,923
  6. Step 6: Final answer
    x = 43,146.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.