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Finding the Third Proportional to 20,849 and 44,674

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Solution

The third proportional to 20,849 and 44,674 is: 95,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,849 : 44,674 = 44,674 : x
  2. Step 2: Convert to fraction form
    20,849/44,674 = 44,674/x
  3. Step 3: Cross multiply
    20,849x = 44,674 × 44,674
  4. Step 4: Simplify right side
    20,849x = 1,995,766,276
  5. Step 5: Solve for x
    x = 1,995,766,276/20,849
  6. Step 6: Final answer
    x = 95,724.80

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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.