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Finding the Third Proportional to 3,469.50 and 7,554.75

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Solution

The third proportional to 3,469.50 and 7,554.75 is: 16,450.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.50 : 7,554.75 = 7,554.75 : x
  2. Step 2: Convert to fraction form
    3,469.50/7,554.75 = 7,554.75/x
  3. Step 3: Cross multiply
    3,469.50x = 7,554.75 × 7,554.75
  4. Step 4: Simplify right side
    3,469.50x = 57,074,247.56
  5. Step 5: Solve for x
    x = 57,074,247.56/3,469.50
  6. Step 6: Final answer
    x = 16,450.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.