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Finding the Third Proportional to 6,329.39 and 13,873.78

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Solution

The third proportional to 6,329.39 and 13,873.78 is: 30,410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.39 : 13,873.78 = 13,873.78 : x
  2. Step 2: Convert to fraction form
    6,329.39/13,873.78 = 13,873.78/x
  3. Step 3: Cross multiply
    6,329.39x = 13,873.78 × 13,873.78
  4. Step 4: Simplify right side
    6,329.39x = 192,481,806.17
  5. Step 5: Solve for x
    x = 192,481,806.17/6,329.39
  6. Step 6: Final answer
    x = 30,410.80

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Why These Related Problems?

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