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Finding the Third Proportional to 20,882 and 47,021

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Solution

The third proportional to 20,882 and 47,021 is: 105,879.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,882 : 47,021 = 47,021 : x
  2. Step 2: Convert to fraction form
    20,882/47,021 = 47,021/x
  3. Step 3: Cross multiply
    20,882x = 47,021 × 47,021
  4. Step 4: Simplify right side
    20,882x = 2,210,974,441
  5. Step 5: Solve for x
    x = 2,210,974,441/20,882
  6. Step 6: Final answer
    x = 105,879.44

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.