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Finding the Third Proportional to 36,584 and 86,273

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Solution

The third proportional to 36,584 and 86,273 is: 203,450.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,584 : 86,273 = 86,273 : x
  2. Step 2: Convert to fraction form
    36,584/86,273 = 86,273/x
  3. Step 3: Cross multiply
    36,584x = 86,273 × 86,273
  4. Step 4: Simplify right side
    36,584x = 7,443,030,529
  5. Step 5: Solve for x
    x = 7,443,030,529/36,584
  6. Step 6: Final answer
    x = 203,450.43

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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.