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Finding the Third Proportional to 36,393 and 79,575

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Solution

The third proportional to 36,393 and 79,575 is: 173,994.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,393 : 79,575 = 79,575 : x
  2. Step 2: Convert to fraction form
    36,393/79,575 = 79,575/x
  3. Step 3: Cross multiply
    36,393x = 79,575 × 79,575
  4. Step 4: Simplify right side
    36,393x = 6,332,180,625
  5. Step 5: Solve for x
    x = 6,332,180,625/36,393
  6. Step 6: Final answer
    x = 173,994.47

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Why These Related Problems?

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