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Finding the Third Proportional to 36,999 and 81,379.13

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Solution

The third proportional to 36,999 and 81,379.13 is: 178,993.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,999 : 81,379.13 = 81,379.13 : x
  2. Step 2: Convert to fraction form
    36,999/81,379.13 = 81,379.13/x
  3. Step 3: Cross multiply
    36,999x = 81,379.13 × 81,379.13
  4. Step 4: Simplify right side
    36,999x = 6,622,561,985.77
  5. Step 5: Solve for x
    x = 6,622,561,985.77/36,999
  6. Step 6: Final answer
    x = 178,993.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.