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Finding the Third Proportional to 36,586 and 54,787

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Solution

The third proportional to 36,586 and 54,787 is: 82,042.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,586 : 54,787 = 54,787 : x
  2. Step 2: Convert to fraction form
    36,586/54,787 = 54,787/x
  3. Step 3: Cross multiply
    36,586x = 54,787 × 54,787
  4. Step 4: Simplify right side
    36,586x = 3,001,615,369
  5. Step 5: Solve for x
    x = 3,001,615,369/36,586
  6. Step 6: Final answer
    x = 82,042.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.