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Finding the Third Proportional to 11,986 and 26,042

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Solution

The third proportional to 11,986 and 26,042 is: 56,581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986 : 26,042 = 26,042 : x
  2. Step 2: Convert to fraction form
    11,986/26,042 = 26,042/x
  3. Step 3: Cross multiply
    11,986x = 26,042 × 26,042
  4. Step 4: Simplify right side
    11,986x = 678,185,764
  5. Step 5: Solve for x
    x = 678,185,764/11,986
  6. Step 6: Final answer
    x = 56,581.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.