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Finding the Third Proportional to 6,376.25 and 13,881.88

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Solution

The third proportional to 6,376.25 and 13,881.88 is: 30,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.25 : 13,881.88 = 13,881.88 : x
  2. Step 2: Convert to fraction form
    6,376.25/13,881.88 = 13,881.88/x
  3. Step 3: Cross multiply
    6,376.25x = 13,881.88 × 13,881.88
  4. Step 4: Simplify right side
    6,376.25x = 192,706,453.52
  5. Step 5: Solve for x
    x = 192,706,453.52/6,376.25
  6. Step 6: Final answer
    x = 30,222.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.