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Finding the Third Proportional to 36,186.84 and 79,735.97

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Solution

The third proportional to 36,186.84 and 79,735.97 is: 175,694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,186.84 : 79,735.97 = 79,735.97 : x
  2. Step 2: Convert to fraction form
    36,186.84/79,735.97 = 79,735.97/x
  3. Step 3: Cross multiply
    36,186.84x = 79,735.97 × 79,735.97
  4. Step 4: Simplify right side
    36,186.84x = 6,357,824,712.50
  5. Step 5: Solve for x
    x = 6,357,824,712.50/36,186.84
  6. Step 6: Final answer
    x = 175,694.37

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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.