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Finding the Third Proportional to 22,608 and 45,831

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Solution

The third proportional to 22,608 and 45,831 is: 92,908.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,608 : 45,831 = 45,831 : x
  2. Step 2: Convert to fraction form
    22,608/45,831 = 45,831/x
  3. Step 3: Cross multiply
    22,608x = 45,831 × 45,831
  4. Step 4: Simplify right side
    22,608x = 2,100,480,561
  5. Step 5: Solve for x
    x = 2,100,480,561/22,608
  6. Step 6: Final answer
    x = 92,908.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.