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Finding the Third Proportional to 21,622 and 47,497

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Solution

The third proportional to 21,622 and 47,497 is: 104,336.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622 : 47,497 = 47,497 : x
  2. Step 2: Convert to fraction form
    21,622/47,497 = 47,497/x
  3. Step 3: Cross multiply
    21,622x = 47,497 × 47,497
  4. Step 4: Simplify right side
    21,622x = 2,255,965,009
  5. Step 5: Solve for x
    x = 2,255,965,009/21,622
  6. Step 6: Final answer
    x = 104,336.56

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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.