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Finding the Third Proportional to 37,665 and 81,163.50

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Solution

The third proportional to 37,665 and 81,163.50 is: 174,897.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,665 : 81,163.50 = 81,163.50 : x
  2. Step 2: Convert to fraction form
    37,665/81,163.50 = 81,163.50/x
  3. Step 3: Cross multiply
    37,665x = 81,163.50 × 81,163.50
  4. Step 4: Simplify right side
    37,665x = 6,587,513,732.25
  5. Step 5: Solve for x
    x = 6,587,513,732.25/37,665
  6. Step 6: Final answer
    x = 174,897.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.