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Finding the Third Proportional to 20,769 and 44,257

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Solution

The third proportional to 20,769 and 44,257 is: 94,307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,769 : 44,257 = 44,257 : x
  2. Step 2: Convert to fraction form
    20,769/44,257 = 44,257/x
  3. Step 3: Cross multiply
    20,769x = 44,257 × 44,257
  4. Step 4: Simplify right side
    20,769x = 1,958,682,049
  5. Step 5: Solve for x
    x = 1,958,682,049/20,769
  6. Step 6: Final answer
    x = 94,307.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.