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Finding the Third Proportional to 12,174.05 and 25,321.92

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Solution

The third proportional to 12,174.05 and 25,321.92 is: 52,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.05 : 25,321.92 = 25,321.92 : x
  2. Step 2: Convert to fraction form
    12,174.05/25,321.92 = 25,321.92/x
  3. Step 3: Cross multiply
    12,174.05x = 25,321.92 × 25,321.92
  4. Step 4: Simplify right side
    12,174.05x = 641,199,727.44
  5. Step 5: Solve for x
    x = 641,199,727.44/12,174.05
  6. Step 6: Final answer
    x = 52,669.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.