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Finding the Third Proportional to 5,627.25 and 8,105.63

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Solution

The third proportional to 5,627.25 and 8,105.63 is: 11,675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.25 : 8,105.63 = 8,105.63 : x
  2. Step 2: Convert to fraction form
    5,627.25/8,105.63 = 8,105.63/x
  3. Step 3: Cross multiply
    5,627.25x = 8,105.63 × 8,105.63
  4. Step 4: Simplify right side
    5,627.25x = 65,701,156.64
  5. Step 5: Solve for x
    x = 65,701,156.64/5,627.25
  6. Step 6: Final answer
    x = 11,675.54

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.