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Finding the Third Proportional to 20,660 and 45,274

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Solution

The third proportional to 20,660 and 45,274 is: 99,212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,660 : 45,274 = 45,274 : x
  2. Step 2: Convert to fraction form
    20,660/45,274 = 45,274/x
  3. Step 3: Cross multiply
    20,660x = 45,274 × 45,274
  4. Step 4: Simplify right side
    20,660x = 2,049,735,076
  5. Step 5: Solve for x
    x = 2,049,735,076/20,660
  6. Step 6: Final answer
    x = 99,212.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.