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Finding the Third Proportional to 7,786.50 and 11,760.75

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Solution

The third proportional to 7,786.50 and 11,760.75 is: 17,763.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.50 : 11,760.75 = 11,760.75 : x
  2. Step 2: Convert to fraction form
    7,786.50/11,760.75 = 11,760.75/x
  3. Step 3: Cross multiply
    7,786.50x = 11,760.75 × 11,760.75
  4. Step 4: Simplify right side
    7,786.50x = 138,315,240.56
  5. Step 5: Solve for x
    x = 138,315,240.56/7,786.50
  6. Step 6: Final answer
    x = 17,763.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.