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Finding the Third Proportional to 21,481 and 47,324

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Solution

The third proportional to 21,481 and 47,324 is: 104,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,481 : 47,324 = 47,324 : x
  2. Step 2: Convert to fraction form
    21,481/47,324 = 47,324/x
  3. Step 3: Cross multiply
    21,481x = 47,324 × 47,324
  4. Step 4: Simplify right side
    21,481x = 2,239,560,976
  5. Step 5: Solve for x
    x = 2,239,560,976/21,481
  6. Step 6: Final answer
    x = 104,257.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.