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Finding the Third Proportional to 5,790.94 and 12,265.03

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Solution

The third proportional to 5,790.94 and 12,265.03 is: 25,976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.94 : 12,265.03 = 12,265.03 : x
  2. Step 2: Convert to fraction form
    5,790.94/12,265.03 = 12,265.03/x
  3. Step 3: Cross multiply
    5,790.94x = 12,265.03 × 12,265.03
  4. Step 4: Simplify right side
    5,790.94x = 150,430,991.56
  5. Step 5: Solve for x
    x = 150,430,991.56/5,790.94
  6. Step 6: Final answer
    x = 25,976.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.