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Finding the Third Proportional to 12,606.25 and 27,520.75

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Solution

The third proportional to 12,606.25 and 27,520.75 is: 60,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.25 : 27,520.75 = 27,520.75 : x
  2. Step 2: Convert to fraction form
    12,606.25/27,520.75 = 27,520.75/x
  3. Step 3: Cross multiply
    12,606.25x = 27,520.75 × 27,520.75
  4. Step 4: Simplify right side
    12,606.25x = 757,391,680.56
  5. Step 5: Solve for x
    x = 757,391,680.56/12,606.25
  6. Step 6: Final answer
    x = 60,080.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.