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Finding the Third Proportional to 3,804.50 and 5,564

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Solution

The third proportional to 3,804.50 and 5,564 is: 8,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.50 : 5,564 = 5,564 : x
  2. Step 2: Convert to fraction form
    3,804.50/5,564 = 5,564/x
  3. Step 3: Cross multiply
    3,804.50x = 5,564 × 5,564
  4. Step 4: Simplify right side
    3,804.50x = 30,958,096
  5. Step 5: Solve for x
    x = 30,958,096/3,804.50
  6. Step 6: Final answer
    x = 8,137.23

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.