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Finding the Third Proportional to 12,086.72 and 25,092.28

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Solution

The third proportional to 12,086.72 and 25,092.28 is: 52,092.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.72 : 25,092.28 = 25,092.28 : x
  2. Step 2: Convert to fraction form
    12,086.72/25,092.28 = 25,092.28/x
  3. Step 3: Cross multiply
    12,086.72x = 25,092.28 × 25,092.28
  4. Step 4: Simplify right side
    12,086.72x = 629,622,578.33
  5. Step 5: Solve for x
    x = 629,622,578.33/12,086.72
  6. Step 6: Final answer
    x = 52,092.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.