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Finding the Third Proportional to 16,960 and 36,696

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Solution

The third proportional to 16,960 and 36,696 is: 79,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,960 : 36,696 = 36,696 : x
  2. Step 2: Convert to fraction form
    16,960/36,696 = 36,696/x
  3. Step 3: Cross multiply
    16,960x = 36,696 × 36,696
  4. Step 4: Simplify right side
    16,960x = 1,346,596,416
  5. Step 5: Solve for x
    x = 1,346,596,416/16,960
  6. Step 6: Final answer
    x = 79,398.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.