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Finding the Third Proportional to 9,491 and 20,799

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Solution

The third proportional to 9,491 and 20,799 is: 45,579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491 : 20,799 = 20,799 : x
  2. Step 2: Convert to fraction form
    9,491/20,799 = 20,799/x
  3. Step 3: Cross multiply
    9,491x = 20,799 × 20,799
  4. Step 4: Simplify right side
    9,491x = 432,598,401
  5. Step 5: Solve for x
    x = 432,598,401/9,491
  6. Step 6: Final answer
    x = 45,579.85

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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.