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Finding the Third Proportional to 13,188 and 23,453.25

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Solution

The third proportional to 13,188 and 23,453.25 is: 41,708.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188 : 23,453.25 = 23,453.25 : x
  2. Step 2: Convert to fraction form
    13,188/23,453.25 = 23,453.25/x
  3. Step 3: Cross multiply
    13,188x = 23,453.25 × 23,453.25
  4. Step 4: Simplify right side
    13,188x = 550,054,935.56
  5. Step 5: Solve for x
    x = 550,054,935.56/13,188
  6. Step 6: Final answer
    x = 41,708.75

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.