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Finding the Third Proportional to 20,498 and 44,225

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Solution

The third proportional to 20,498 and 44,225 is: 95,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498 : 44,225 = 44,225 : x
  2. Step 2: Convert to fraction form
    20,498/44,225 = 44,225/x
  3. Step 3: Cross multiply
    20,498x = 44,225 × 44,225
  4. Step 4: Simplify right side
    20,498x = 1,955,850,625
  5. Step 5: Solve for x
    x = 1,955,850,625/20,498
  6. Step 6: Final answer
    x = 95,416.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.