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Finding the Third Proportional to 16,406 and 24,694

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Solution

The third proportional to 16,406 and 24,694 is: 37,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406 : 24,694 = 24,694 : x
  2. Step 2: Convert to fraction form
    16,406/24,694 = 24,694/x
  3. Step 3: Cross multiply
    16,406x = 24,694 × 24,694
  4. Step 4: Simplify right side
    16,406x = 609,793,636
  5. Step 5: Solve for x
    x = 609,793,636/16,406
  6. Step 6: Final answer
    x = 37,168.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.