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Finding the Third Proportional to 36,891 and 55,775

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Solution

The third proportional to 36,891 and 55,775 is: 84,325.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,891 : 55,775 = 55,775 : x
  2. Step 2: Convert to fraction form
    36,891/55,775 = 55,775/x
  3. Step 3: Cross multiply
    36,891x = 55,775 × 55,775
  4. Step 4: Simplify right side
    36,891x = 3,110,850,625
  5. Step 5: Solve for x
    x = 3,110,850,625/36,891
  6. Step 6: Final answer
    x = 84,325.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.