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Finding the Third Proportional to 6,233.25 and 13,701.75

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Solution

The third proportional to 6,233.25 and 13,701.75 is: 30,118.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.25 : 13,701.75 = 13,701.75 : x
  2. Step 2: Convert to fraction form
    6,233.25/13,701.75 = 13,701.75/x
  3. Step 3: Cross multiply
    6,233.25x = 13,701.75 × 13,701.75
  4. Step 4: Simplify right side
    6,233.25x = 187,737,953.06
  5. Step 5: Solve for x
    x = 187,737,953.06/6,233.25
  6. Step 6: Final answer
    x = 30,118.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.