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Finding the Third Proportional to 8,000 and 9,856

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Solution

The third proportional to 8,000 and 9,856 is: 12,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000 : 9,856 = 9,856 : x
  2. Step 2: Convert to fraction form
    8,000/9,856 = 9,856/x
  3. Step 3: Cross multiply
    8,000x = 9,856 × 9,856
  4. Step 4: Simplify right side
    8,000x = 97,140,736
  5. Step 5: Solve for x
    x = 97,140,736/8,000
  6. Step 6: Final answer
    x = 12,142.59

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.