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Finding the Third Proportional to 5,449.50 and 10,116

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Solution

The third proportional to 5,449.50 and 10,116 is: 18,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.50 : 10,116 = 10,116 : x
  2. Step 2: Convert to fraction form
    5,449.50/10,116 = 10,116/x
  3. Step 3: Cross multiply
    5,449.50x = 10,116 × 10,116
  4. Step 4: Simplify right side
    5,449.50x = 102,333,456
  5. Step 5: Solve for x
    x = 102,333,456/5,449.50
  6. Step 6: Final answer
    x = 18,778.50

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.