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Finding the Third Proportional to 37,665 and 55,083.38

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Solution

The third proportional to 37,665 and 55,083.38 is: 80,556.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,665 : 55,083.38 = 55,083.38 : x
  2. Step 2: Convert to fraction form
    37,665/55,083.38 = 55,083.38/x
  3. Step 3: Cross multiply
    37,665x = 55,083.38 × 55,083.38
  4. Step 4: Simplify right side
    37,665x = 3,034,178,201.39
  5. Step 5: Solve for x
    x = 3,034,178,201.39/37,665
  6. Step 6: Final answer
    x = 80,556.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.