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Finding the Third Proportional to 20,642 and 44,201

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Solution

The third proportional to 20,642 and 44,201 is: 94,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642 : 44,201 = 44,201 : x
  2. Step 2: Convert to fraction form
    20,642/44,201 = 44,201/x
  3. Step 3: Cross multiply
    20,642x = 44,201 × 44,201
  4. Step 4: Simplify right side
    20,642x = 1,953,728,401
  5. Step 5: Solve for x
    x = 1,953,728,401/20,642
  6. Step 6: Final answer
    x = 94,648.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.