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Finding the Third Proportional to 36,627.19 and 75,198.38

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Solution

The third proportional to 36,627.19 and 75,198.38 is: 154,387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,627.19 : 75,198.38 = 75,198.38 : x
  2. Step 2: Convert to fraction form
    36,627.19/75,198.38 = 75,198.38/x
  3. Step 3: Cross multiply
    36,627.19x = 75,198.38 × 75,198.38
  4. Step 4: Simplify right side
    36,627.19x = 5,654,795,602.64
  5. Step 5: Solve for x
    x = 5,654,795,602.64/36,627.19
  6. Step 6: Final answer
    x = 154,387.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.