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Finding the Third Proportional to 11,250 and 23,884.50

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Solution

The third proportional to 11,250 and 23,884.50 is: 50,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,250 : 23,884.50 = 23,884.50 : x
  2. Step 2: Convert to fraction form
    11,250/23,884.50 = 23,884.50/x
  3. Step 3: Cross multiply
    11,250x = 23,884.50 × 23,884.50
  4. Step 4: Simplify right side
    11,250x = 570,469,340.25
  5. Step 5: Solve for x
    x = 570,469,340.25/11,250
  6. Step 6: Final answer
    x = 50,708.39

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.