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Finding the Third Proportional to 36,717 and 55,843

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Solution

The third proportional to 36,717 and 55,843 is: 84,931.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,717 : 55,843 = 55,843 : x
  2. Step 2: Convert to fraction form
    36,717/55,843 = 55,843/x
  3. Step 3: Cross multiply
    36,717x = 55,843 × 55,843
  4. Step 4: Simplify right side
    36,717x = 3,118,440,649
  5. Step 5: Solve for x
    x = 3,118,440,649/36,717
  6. Step 6: Final answer
    x = 84,931.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.