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Finding the Third Proportional to 5,481.56 and 12,004.31

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Solution

The third proportional to 5,481.56 and 12,004.31 is: 26,288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.56 : 12,004.31 = 12,004.31 : x
  2. Step 2: Convert to fraction form
    5,481.56/12,004.31 = 12,004.31/x
  3. Step 3: Cross multiply
    5,481.56x = 12,004.31 × 12,004.31
  4. Step 4: Simplify right side
    5,481.56x = 144,103,518.60
  5. Step 5: Solve for x
    x = 144,103,518.60/5,481.56
  6. Step 6: Final answer
    x = 26,288.77

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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.