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Finding the Third Proportional to 16,558 and 39,057

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Solution

The third proportional to 16,558 and 39,057 is: 92,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,558 : 39,057 = 39,057 : x
  2. Step 2: Convert to fraction form
    16,558/39,057 = 39,057/x
  3. Step 3: Cross multiply
    16,558x = 39,057 × 39,057
  4. Step 4: Simplify right side
    16,558x = 1,525,449,249
  5. Step 5: Solve for x
    x = 1,525,449,249/16,558
  6. Step 6: Final answer
    x = 92,127.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.