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Finding the Third Proportional to 36,343.69 and 79,658.44

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Solution

The third proportional to 36,343.69 and 79,658.44 is: 174,596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,343.69 : 79,658.44 = 79,658.44 : x
  2. Step 2: Convert to fraction form
    36,343.69/79,658.44 = 79,658.44/x
  3. Step 3: Cross multiply
    36,343.69x = 79,658.44 × 79,658.44
  4. Step 4: Simplify right side
    36,343.69x = 6,345,466,664.94
  5. Step 5: Solve for x
    x = 6,345,466,664.94/36,343.69
  6. Step 6: Final answer
    x = 174,596.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.