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Finding the Third Proportional to 5,472.56 and 11,674.13

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Solution

The third proportional to 5,472.56 and 11,674.13 is: 24,903.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.56 : 11,674.13 = 11,674.13 : x
  2. Step 2: Convert to fraction form
    5,472.56/11,674.13 = 11,674.13/x
  3. Step 3: Cross multiply
    5,472.56x = 11,674.13 × 11,674.13
  4. Step 4: Simplify right side
    5,472.56x = 136,285,194.52
  5. Step 5: Solve for x
    x = 136,285,194.52/5,472.56
  6. Step 6: Final answer
    x = 24,903.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.