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Finding the Third Proportional to 36,621 and 79,954

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Solution

The third proportional to 36,621 and 79,954 is: 174,562.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,621 : 79,954 = 79,954 : x
  2. Step 2: Convert to fraction form
    36,621/79,954 = 79,954/x
  3. Step 3: Cross multiply
    36,621x = 79,954 × 79,954
  4. Step 4: Simplify right side
    36,621x = 6,392,642,116
  5. Step 5: Solve for x
    x = 6,392,642,116/36,621
  6. Step 6: Final answer
    x = 174,562.19

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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.