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Finding the Third Proportional to 7,684 and 16,656

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Solution

The third proportional to 7,684 and 16,656 is: 36,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684 : 16,656 = 16,656 : x
  2. Step 2: Convert to fraction form
    7,684/16,656 = 16,656/x
  3. Step 3: Cross multiply
    7,684x = 16,656 × 16,656
  4. Step 4: Simplify right side
    7,684x = 277,422,336
  5. Step 5: Solve for x
    x = 277,422,336/7,684
  6. Step 6: Final answer
    x = 36,103.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.