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Finding the Third Proportional to 6,238.75 and 13,476.75

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Solution

The third proportional to 6,238.75 and 13,476.75 is: 29,112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.75 : 13,476.75 = 13,476.75 : x
  2. Step 2: Convert to fraction form
    6,238.75/13,476.75 = 13,476.75/x
  3. Step 3: Cross multiply
    6,238.75x = 13,476.75 × 13,476.75
  4. Step 4: Simplify right side
    6,238.75x = 181,622,790.56
  5. Step 5: Solve for x
    x = 181,622,790.56/6,238.75
  6. Step 6: Final answer
    x = 29,112.05

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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.