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Finding the Third Proportional to 21,900 and 33,018

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Solution

The third proportional to 21,900 and 33,018 is: 49,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,900 : 33,018 = 33,018 : x
  2. Step 2: Convert to fraction form
    21,900/33,018 = 33,018/x
  3. Step 3: Cross multiply
    21,900x = 33,018 × 33,018
  4. Step 4: Simplify right side
    21,900x = 1,090,188,324
  5. Step 5: Solve for x
    x = 1,090,188,324/21,900
  6. Step 6: Final answer
    x = 49,780.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.