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Finding the Third Proportional to 8,192 and 12,400

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Solution

The third proportional to 8,192 and 12,400 is: 18,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192 : 12,400 = 12,400 : x
  2. Step 2: Convert to fraction form
    8,192/12,400 = 12,400/x
  3. Step 3: Cross multiply
    8,192x = 12,400 × 12,400
  4. Step 4: Simplify right side
    8,192x = 153,760,000
  5. Step 5: Solve for x
    x = 153,760,000/8,192
  6. Step 6: Final answer
    x = 18,769.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.