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Finding the Third Proportional to 3,267.56 and 7,763.91

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Solution

The third proportional to 3,267.56 and 7,763.91 is: 18,447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.56 : 7,763.91 = 7,763.91 : x
  2. Step 2: Convert to fraction form
    3,267.56/7,763.91 = 7,763.91/x
  3. Step 3: Cross multiply
    3,267.56x = 7,763.91 × 7,763.91
  4. Step 4: Simplify right side
    3,267.56x = 60,278,240.26
  5. Step 5: Solve for x
    x = 60,278,240.26/3,267.56
  6. Step 6: Final answer
    x = 18,447.46

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.