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Finding the Third Proportional to 7,733 and 16,698

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Solution

The third proportional to 7,733 and 16,698 is: 36,056.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733 : 16,698 = 16,698 : x
  2. Step 2: Convert to fraction form
    7,733/16,698 = 16,698/x
  3. Step 3: Cross multiply
    7,733x = 16,698 × 16,698
  4. Step 4: Simplify right side
    7,733x = 278,823,204
  5. Step 5: Solve for x
    x = 278,823,204/7,733
  6. Step 6: Final answer
    x = 36,056.28

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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.