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Finding the Third Proportional to 36,665 and 55,704

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Solution

The third proportional to 36,665 and 55,704 is: 84,629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,665 : 55,704 = 55,704 : x
  2. Step 2: Convert to fraction form
    36,665/55,704 = 55,704/x
  3. Step 3: Cross multiply
    36,665x = 55,704 × 55,704
  4. Step 4: Simplify right side
    36,665x = 3,102,935,616
  5. Step 5: Solve for x
    x = 3,102,935,616/36,665
  6. Step 6: Final answer
    x = 84,629.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.