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Finding the Third Proportional to 21,406 and 51,569

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Solution

The third proportional to 21,406 and 51,569 is: 124,234.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406 : 51,569 = 51,569 : x
  2. Step 2: Convert to fraction form
    21,406/51,569 = 51,569/x
  3. Step 3: Cross multiply
    21,406x = 51,569 × 51,569
  4. Step 4: Simplify right side
    21,406x = 2,659,361,761
  5. Step 5: Solve for x
    x = 2,659,361,761/21,406
  6. Step 6: Final answer
    x = 124,234.41

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.