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Finding the Third Proportional to 6,476.63 and 14,163.75

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Solution

The third proportional to 6,476.63 and 14,163.75 is: 30,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.63 : 14,163.75 = 14,163.75 : x
  2. Step 2: Convert to fraction form
    6,476.63/14,163.75 = 14,163.75/x
  3. Step 3: Cross multiply
    6,476.63x = 14,163.75 × 14,163.75
  4. Step 4: Simplify right side
    6,476.63x = 200,611,814.06
  5. Step 5: Solve for x
    x = 200,611,814.06/6,476.63
  6. Step 6: Final answer
    x = 30,974.75

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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.