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Finding the Third Proportional to 6,481.69 and 14,203.69

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Solution

The third proportional to 6,481.69 and 14,203.69 is: 31,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.69 : 14,203.69 = 14,203.69 : x
  2. Step 2: Convert to fraction form
    6,481.69/14,203.69 = 14,203.69/x
  3. Step 3: Cross multiply
    6,481.69x = 14,203.69 × 14,203.69
  4. Step 4: Simplify right side
    6,481.69x = 201,744,738.60
  5. Step 5: Solve for x
    x = 201,744,738.60/6,481.69
  6. Step 6: Final answer
    x = 31,125.34

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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.