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Finding the Third Proportional to 16,631 and 36,953

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Solution

The third proportional to 16,631 and 36,953 is: 82,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,631 : 36,953 = 36,953 : x
  2. Step 2: Convert to fraction form
    16,631/36,953 = 36,953/x
  3. Step 3: Cross multiply
    16,631x = 36,953 × 36,953
  4. Step 4: Simplify right side
    16,631x = 1,365,524,209
  5. Step 5: Solve for x
    x = 1,365,524,209/16,631
  6. Step 6: Final answer
    x = 82,107.16

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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.