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Finding the Third Proportional to 5,027.75 and 7,456

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Solution

The third proportional to 5,027.75 and 7,456 is: 11,057.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027.75 : 7,456 = 7,456 : x
  2. Step 2: Convert to fraction form
    5,027.75/7,456 = 7,456/x
  3. Step 3: Cross multiply
    5,027.75x = 7,456 × 7,456
  4. Step 4: Simplify right side
    5,027.75x = 55,591,936
  5. Step 5: Solve for x
    x = 55,591,936/5,027.75
  6. Step 6: Final answer
    x = 11,057.02

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.