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Finding the Third Proportional to 36,220 and 79,799

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Solution

The third proportional to 36,220 and 79,799 is: 175,811.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,220 : 79,799 = 79,799 : x
  2. Step 2: Convert to fraction form
    36,220/79,799 = 79,799/x
  3. Step 3: Cross multiply
    36,220x = 79,799 × 79,799
  4. Step 4: Simplify right side
    36,220x = 6,367,880,401
  5. Step 5: Solve for x
    x = 6,367,880,401/36,220
  6. Step 6: Final answer
    x = 175,811.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.