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Finding the Third Proportional to 36,586 and 86,278

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Solution

The third proportional to 36,586 and 86,278 is: 203,462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,586 : 86,278 = 86,278 : x
  2. Step 2: Convert to fraction form
    36,586/86,278 = 86,278/x
  3. Step 3: Cross multiply
    36,586x = 86,278 × 86,278
  4. Step 4: Simplify right side
    36,586x = 7,443,893,284
  5. Step 5: Solve for x
    x = 7,443,893,284/36,586
  6. Step 6: Final answer
    x = 203,462.89

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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.