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Finding the Third Proportional to 36,546 and 75,684

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Solution

The third proportional to 36,546 and 75,684 is: 156,735.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,546 : 75,684 = 75,684 : x
  2. Step 2: Convert to fraction form
    36,546/75,684 = 75,684/x
  3. Step 3: Cross multiply
    36,546x = 75,684 × 75,684
  4. Step 4: Simplify right side
    36,546x = 5,728,067,856
  5. Step 5: Solve for x
    x = 5,728,067,856/36,546
  6. Step 6: Final answer
    x = 156,735.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.