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Finding the Third Proportional to 36,586 and 80,788

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Solution

The third proportional to 36,586 and 80,788 is: 178,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,586 : 80,788 = 80,788 : x
  2. Step 2: Convert to fraction form
    36,586/80,788 = 80,788/x
  3. Step 3: Cross multiply
    36,586x = 80,788 × 80,788
  4. Step 4: Simplify right side
    36,586x = 6,526,700,944
  5. Step 5: Solve for x
    x = 6,526,700,944/36,586
  6. Step 6: Final answer
    x = 178,393.40

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.