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Finding the Third Proportional to 35,969 and 79,026

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Solution

The third proportional to 35,969 and 79,026 is: 173,624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,969 : 79,026 = 79,026 : x
  2. Step 2: Convert to fraction form
    35,969/79,026 = 79,026/x
  3. Step 3: Cross multiply
    35,969x = 79,026 × 79,026
  4. Step 4: Simplify right side
    35,969x = 6,245,108,676
  5. Step 5: Solve for x
    x = 6,245,108,676/35,969
  6. Step 6: Final answer
    x = 173,624.75

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