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Finding the Third Proportional to 36,684 and 55,107

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Solution

The third proportional to 36,684 and 55,107 is: 82,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,684 : 55,107 = 55,107 : x
  2. Step 2: Convert to fraction form
    36,684/55,107 = 55,107/x
  3. Step 3: Cross multiply
    36,684x = 55,107 × 55,107
  4. Step 4: Simplify right side
    36,684x = 3,036,781,449
  5. Step 5: Solve for x
    x = 3,036,781,449/36,684
  6. Step 6: Final answer
    x = 82,782.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.