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Finding the Third Proportional to 12,187.97 and 25,342.24

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Solution

The third proportional to 12,187.97 and 25,342.24 is: 52,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.97 : 25,342.24 = 25,342.24 : x
  2. Step 2: Convert to fraction form
    12,187.97/25,342.24 = 25,342.24/x
  3. Step 3: Cross multiply
    12,187.97x = 25,342.24 × 25,342.24
  4. Step 4: Simplify right side
    12,187.97x = 642,229,239.09
  5. Step 5: Solve for x
    x = 642,229,239.09/12,187.97
  6. Step 6: Final answer
    x = 52,693.71

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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.