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Finding the Third Proportional to 20,571 and 44,665

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Solution

The third proportional to 20,571 and 44,665 is: 96,979.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,571 : 44,665 = 44,665 : x
  2. Step 2: Convert to fraction form
    20,571/44,665 = 44,665/x
  3. Step 3: Cross multiply
    20,571x = 44,665 × 44,665
  4. Step 4: Simplify right side
    20,571x = 1,994,962,225
  5. Step 5: Solve for x
    x = 1,994,962,225/20,571
  6. Step 6: Final answer
    x = 96,979.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.