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Finding the Third Proportional to 9,512 and 16,696

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Solution

The third proportional to 9,512 and 16,696 is: 29,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512 : 16,696 = 16,696 : x
  2. Step 2: Convert to fraction form
    9,512/16,696 = 16,696/x
  3. Step 3: Cross multiply
    9,512x = 16,696 × 16,696
  4. Step 4: Simplify right side
    9,512x = 278,756,416
  5. Step 5: Solve for x
    x = 278,756,416/9,512
  6. Step 6: Final answer
    x = 29,305.76

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.