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Finding the Third Proportional to 36,606 and 79,764

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Solution

The third proportional to 36,606 and 79,764 is: 173,804.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,606 : 79,764 = 79,764 : x
  2. Step 2: Convert to fraction form
    36,606/79,764 = 79,764/x
  3. Step 3: Cross multiply
    36,606x = 79,764 × 79,764
  4. Step 4: Simplify right side
    36,606x = 6,362,295,696
  5. Step 5: Solve for x
    x = 6,362,295,696/36,606
  6. Step 6: Final answer
    x = 173,804.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.