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Finding the Third Proportional to 20,216 and 44,401

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Solution

The third proportional to 20,216 and 44,401 is: 97,519.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216 : 44,401 = 44,401 : x
  2. Step 2: Convert to fraction form
    20,216/44,401 = 44,401/x
  3. Step 3: Cross multiply
    20,216x = 44,401 × 44,401
  4. Step 4: Simplify right side
    20,216x = 1,971,448,801
  5. Step 5: Solve for x
    x = 1,971,448,801/20,216
  6. Step 6: Final answer
    x = 97,519.23

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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.