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Finding the Third Proportional to 36,676.13 and 77,850.07

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Solution

The third proportional to 36,676.13 and 77,850.07 is: 165,247.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,676.13 : 77,850.07 = 77,850.07 : x
  2. Step 2: Convert to fraction form
    36,676.13/77,850.07 = 77,850.07/x
  3. Step 3: Cross multiply
    36,676.13x = 77,850.07 × 77,850.07
  4. Step 4: Simplify right side
    36,676.13x = 6,060,633,447.66
  5. Step 5: Solve for x
    x = 6,060,633,447.66/36,676.13
  6. Step 6: Final answer
    x = 165,247.38

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.