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Finding the Third Proportional to 41,388.75 and 86,524.88

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Solution

The third proportional to 41,388.75 and 86,524.88 is: 180,883.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,388.75 : 86,524.88 = 86,524.88 : x
  2. Step 2: Convert to fraction form
    41,388.75/86,524.88 = 86,524.88/x
  3. Step 3: Cross multiply
    41,388.75x = 86,524.88 × 86,524.88
  4. Step 4: Simplify right side
    41,388.75x = 7,486,553,993.77
  5. Step 5: Solve for x
    x = 7,486,553,993.77/41,388.75
  6. Step 6: Final answer
    x = 180,883.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.