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Finding the Third Proportional to 5,192 and 8,042

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Solution

The third proportional to 5,192 and 8,042 is: 12,456.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192 : 8,042 = 8,042 : x
  2. Step 2: Convert to fraction form
    5,192/8,042 = 8,042/x
  3. Step 3: Cross multiply
    5,192x = 8,042 × 8,042
  4. Step 4: Simplify right side
    5,192x = 64,673,764
  5. Step 5: Solve for x
    x = 64,673,764/5,192
  6. Step 6: Final answer
    x = 12,456.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.