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Finding the Third Proportional to 6,283.35 and 13,766.99

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Solution

The third proportional to 6,283.35 and 13,766.99 is: 30,163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.35 : 13,766.99 = 13,766.99 : x
  2. Step 2: Convert to fraction form
    6,283.35/13,766.99 = 13,766.99/x
  3. Step 3: Cross multiply
    6,283.35x = 13,766.99 × 13,766.99
  4. Step 4: Simplify right side
    6,283.35x = 189,530,127.67
  5. Step 5: Solve for x
    x = 189,530,127.67/6,283.35
  6. Step 6: Final answer
    x = 30,163.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.