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Finding the Third Proportional to 21,844 and 48,208

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Solution

The third proportional to 21,844 and 48,208 is: 106,391.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,844 : 48,208 = 48,208 : x
  2. Step 2: Convert to fraction form
    21,844/48,208 = 48,208/x
  3. Step 3: Cross multiply
    21,844x = 48,208 × 48,208
  4. Step 4: Simplify right side
    21,844x = 2,324,011,264
  5. Step 5: Solve for x
    x = 2,324,011,264/21,844
  6. Step 6: Final answer
    x = 106,391.29

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.