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Finding the Third Proportional to 11,702 and 26,182

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Solution

The third proportional to 11,702 and 26,182 is: 58,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702 : 26,182 = 26,182 : x
  2. Step 2: Convert to fraction form
    11,702/26,182 = 26,182/x
  3. Step 3: Cross multiply
    11,702x = 26,182 × 26,182
  4. Step 4: Simplify right side
    11,702x = 685,497,124
  5. Step 5: Solve for x
    x = 685,497,124/11,702
  6. Step 6: Final answer
    x = 58,579.48

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.