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Finding the Third Proportional to 20,394 and 44,799

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Solution

The third proportional to 20,394 and 44,799 is: 98,408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,394 : 44,799 = 44,799 : x
  2. Step 2: Convert to fraction form
    20,394/44,799 = 44,799/x
  3. Step 3: Cross multiply
    20,394x = 44,799 × 44,799
  4. Step 4: Simplify right side
    20,394x = 2,006,950,401
  5. Step 5: Solve for x
    x = 2,006,950,401/20,394
  6. Step 6: Final answer
    x = 98,408.87

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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.