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Finding the Third Proportional to 16,636 and 36,965

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Solution

The third proportional to 16,636 and 36,965 is: 82,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,636 : 36,965 = 36,965 : x
  2. Step 2: Convert to fraction form
    16,636/36,965 = 36,965/x
  3. Step 3: Cross multiply
    16,636x = 36,965 × 36,965
  4. Step 4: Simplify right side
    16,636x = 1,366,411,225
  5. Step 5: Solve for x
    x = 1,366,411,225/16,636
  6. Step 6: Final answer
    x = 82,135.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.