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Finding the Third Proportional to 21,578 and 48,177

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Solution

The third proportional to 21,578 and 48,177 is: 107,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578 : 48,177 = 48,177 : x
  2. Step 2: Convert to fraction form
    21,578/48,177 = 48,177/x
  3. Step 3: Cross multiply
    21,578x = 48,177 × 48,177
  4. Step 4: Simplify right side
    21,578x = 2,321,023,329
  5. Step 5: Solve for x
    x = 2,321,023,329/21,578
  6. Step 6: Final answer
    x = 107,564.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.