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Finding the Third Proportional to 23,229 and 50,805

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Solution

The third proportional to 23,229 and 50,805 is: 111,117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,229 : 50,805 = 50,805 : x
  2. Step 2: Convert to fraction form
    23,229/50,805 = 50,805/x
  3. Step 3: Cross multiply
    23,229x = 50,805 × 50,805
  4. Step 4: Simplify right side
    23,229x = 2,581,148,025
  5. Step 5: Solve for x
    x = 2,581,148,025/23,229
  6. Step 6: Final answer
    x = 111,117.48

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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.