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Finding the Third Proportional to 36,582 and 86,268

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Solution

The third proportional to 36,582 and 86,268 is: 203,437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,582 : 86,268 = 86,268 : x
  2. Step 2: Convert to fraction form
    36,582/86,268 = 86,268/x
  3. Step 3: Cross multiply
    36,582x = 86,268 × 86,268
  4. Step 4: Simplify right side
    36,582x = 7,442,167,824
  5. Step 5: Solve for x
    x = 7,442,167,824/36,582
  6. Step 6: Final answer
    x = 203,437.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.