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Finding the Third Proportional to 36,876.94 and 81,286.88

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Solution

The third proportional to 36,876.94 and 81,286.88 is: 179,178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,876.94 : 81,286.88 = 81,286.88 : x
  2. Step 2: Convert to fraction form
    36,876.94/81,286.88 = 81,286.88/x
  3. Step 3: Cross multiply
    36,876.94x = 81,286.88 × 81,286.88
  4. Step 4: Simplify right side
    36,876.94x = 6,607,556,047.27
  5. Step 5: Solve for x
    x = 6,607,556,047.27/36,876.94
  6. Step 6: Final answer
    x = 179,178.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.