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Finding the Third Proportional to 6,724.69 and 15,627.09

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Solution

The third proportional to 6,724.69 and 15,627.09 is: 36,314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724.69 : 15,627.09 = 15,627.09 : x
  2. Step 2: Convert to fraction form
    6,724.69/15,627.09 = 15,627.09/x
  3. Step 3: Cross multiply
    6,724.69x = 15,627.09 × 15,627.09
  4. Step 4: Simplify right side
    6,724.69x = 244,206,059.07
  5. Step 5: Solve for x
    x = 244,206,059.07/6,724.69
  6. Step 6: Final answer
    x = 36,314.86

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.