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Finding the Third Proportional to 20,274 and 47,101

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Solution

The third proportional to 20,274 and 47,101 is: 109,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274 : 47,101 = 47,101 : x
  2. Step 2: Convert to fraction form
    20,274/47,101 = 47,101/x
  3. Step 3: Cross multiply
    20,274x = 47,101 × 47,101
  4. Step 4: Simplify right side
    20,274x = 2,218,504,201
  5. Step 5: Solve for x
    x = 2,218,504,201/20,274
  6. Step 6: Final answer
    x = 109,426.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.