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Finding the Third Proportional to 5,027.25 and 10,863.75

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Solution

The third proportional to 5,027.25 and 10,863.75 is: 23,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027.25 : 10,863.75 = 10,863.75 : x
  2. Step 2: Convert to fraction form
    5,027.25/10,863.75 = 10,863.75/x
  3. Step 3: Cross multiply
    5,027.25x = 10,863.75 × 10,863.75
  4. Step 4: Simplify right side
    5,027.25x = 118,021,064.06
  5. Step 5: Solve for x
    x = 118,021,064.06/5,027.25
  6. Step 6: Final answer
    x = 23,476.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.