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Finding the Third Proportional to 21,930 and 50,208

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Solution

The third proportional to 21,930 and 50,208 is: 114,949.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930 : 50,208 = 50,208 : x
  2. Step 2: Convert to fraction form
    21,930/50,208 = 50,208/x
  3. Step 3: Cross multiply
    21,930x = 50,208 × 50,208
  4. Step 4: Simplify right side
    21,930x = 2,520,843,264
  5. Step 5: Solve for x
    x = 2,520,843,264/21,930
  6. Step 6: Final answer
    x = 114,949.53

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.