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Finding the Third Proportional to 6,375.67 and 13,880.43

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Solution

The third proportional to 6,375.67 and 13,880.43 is: 30,219.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.67 : 13,880.43 = 13,880.43 : x
  2. Step 2: Convert to fraction form
    6,375.67/13,880.43 = 13,880.43/x
  3. Step 3: Cross multiply
    6,375.67x = 13,880.43 × 13,880.43
  4. Step 4: Simplify right side
    6,375.67x = 192,666,219.87
  5. Step 5: Solve for x
    x = 192,666,219.87/6,375.67
  6. Step 6: Final answer
    x = 30,219.00

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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.