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Finding the Third Proportional to 7,546.75 and 11,735.75

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Solution

The third proportional to 7,546.75 and 11,735.75 is: 18,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.75 : 11,735.75 = 11,735.75 : x
  2. Step 2: Convert to fraction form
    7,546.75/11,735.75 = 11,735.75/x
  3. Step 3: Cross multiply
    7,546.75x = 11,735.75 × 11,735.75
  4. Step 4: Simplify right side
    7,546.75x = 137,727,828.06
  5. Step 5: Solve for x
    x = 137,727,828.06/7,546.75
  6. Step 6: Final answer
    x = 18,249.95

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.