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Finding the Third Proportional to 36,114 and 55,809

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Solution

The third proportional to 36,114 and 55,809 is: 86,244.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,114 : 55,809 = 55,809 : x
  2. Step 2: Convert to fraction form
    36,114/55,809 = 55,809/x
  3. Step 3: Cross multiply
    36,114x = 55,809 × 55,809
  4. Step 4: Simplify right side
    36,114x = 3,114,644,481
  5. Step 5: Solve for x
    x = 3,114,644,481/36,114
  6. Step 6: Final answer
    x = 86,244.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.