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Finding the Third Proportional to 16,901 and 37,690

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Solution

The third proportional to 16,901 and 37,690 is: 84,050.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,901 : 37,690 = 37,690 : x
  2. Step 2: Convert to fraction form
    16,901/37,690 = 37,690/x
  3. Step 3: Cross multiply
    16,901x = 37,690 × 37,690
  4. Step 4: Simplify right side
    16,901x = 1,420,536,100
  5. Step 5: Solve for x
    x = 1,420,536,100/16,901
  6. Step 6: Final answer
    x = 84,050.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.