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Finding the Third Proportional to 6,273.23 and 13,639.97

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Solution

The third proportional to 6,273.23 and 13,639.97 is: 29,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.23 : 13,639.97 = 13,639.97 : x
  2. Step 2: Convert to fraction form
    6,273.23/13,639.97 = 13,639.97/x
  3. Step 3: Cross multiply
    6,273.23x = 13,639.97 × 13,639.97
  4. Step 4: Simplify right side
    6,273.23x = 186,048,747.50
  5. Step 5: Solve for x
    x = 186,048,747.50/6,273.23
  6. Step 6: Final answer
    x = 29,657.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.