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Finding the Third Proportional to 16,636 and 36,964

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Solution

The third proportional to 16,636 and 36,964 is: 82,131.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,636 : 36,964 = 36,964 : x
  2. Step 2: Convert to fraction form
    16,636/36,964 = 36,964/x
  3. Step 3: Cross multiply
    16,636x = 36,964 × 36,964
  4. Step 4: Simplify right side
    16,636x = 1,366,337,296
  5. Step 5: Solve for x
    x = 1,366,337,296/16,636
  6. Step 6: Final answer
    x = 82,131.36

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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.