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Finding the Third Proportional to 36,631 and 79,973

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Solution

The third proportional to 36,631 and 79,973 is: 174,597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,631 : 79,973 = 79,973 : x
  2. Step 2: Convert to fraction form
    36,631/79,973 = 79,973/x
  3. Step 3: Cross multiply
    36,631x = 79,973 × 79,973
  4. Step 4: Simplify right side
    36,631x = 6,395,680,729
  5. Step 5: Solve for x
    x = 6,395,680,729/36,631
  6. Step 6: Final answer
    x = 174,597.49

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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.