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Finding the Third Proportional to 8,540 and 16,684

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Solution

The third proportional to 8,540 and 16,684 is: 32,594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540 : 16,684 = 16,684 : x
  2. Step 2: Convert to fraction form
    8,540/16,684 = 16,684/x
  3. Step 3: Cross multiply
    8,540x = 16,684 × 16,684
  4. Step 4: Simplify right side
    8,540x = 278,355,856
  5. Step 5: Solve for x
    x = 278,355,856/8,540
  6. Step 6: Final answer
    x = 32,594.36

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.