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Finding the Third Proportional to 6,155.25 and 14,771.25

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Solution

The third proportional to 6,155.25 and 14,771.25 is: 35,447.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.25 : 14,771.25 = 14,771.25 : x
  2. Step 2: Convert to fraction form
    6,155.25/14,771.25 = 14,771.25/x
  3. Step 3: Cross multiply
    6,155.25x = 14,771.25 × 14,771.25
  4. Step 4: Simplify right side
    6,155.25x = 218,189,826.56
  5. Step 5: Solve for x
    x = 218,189,826.56/6,155.25
  6. Step 6: Final answer
    x = 35,447.76

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.