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Finding the Third Proportional to 20,133 and 41,382

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Solution

The third proportional to 20,133 and 41,382 is: 85,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133 : 41,382 = 41,382 : x
  2. Step 2: Convert to fraction form
    20,133/41,382 = 41,382/x
  3. Step 3: Cross multiply
    20,133x = 41,382 × 41,382
  4. Step 4: Simplify right side
    20,133x = 1,712,469,924
  5. Step 5: Solve for x
    x = 1,712,469,924/20,133
  6. Step 6: Final answer
    x = 85,057.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.