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Finding the Third Proportional to 49,571 and 79,799

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Solution

The third proportional to 49,571 and 79,799 is: 128,459.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,571 : 79,799 = 79,799 : x
  2. Step 2: Convert to fraction form
    49,571/79,799 = 79,799/x
  3. Step 3: Cross multiply
    49,571x = 79,799 × 79,799
  4. Step 4: Simplify right side
    49,571x = 6,367,880,401
  5. Step 5: Solve for x
    x = 6,367,880,401/49,571
  6. Step 6: Final answer
    x = 128,459.79

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.