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Finding the Third Proportional to 27,182 and 41,062

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Solution

The third proportional to 27,182 and 41,062 is: 62,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,182 : 41,062 = 41,062 : x
  2. Step 2: Convert to fraction form
    27,182/41,062 = 41,062/x
  3. Step 3: Cross multiply
    27,182x = 41,062 × 41,062
  4. Step 4: Simplify right side
    27,182x = 1,686,087,844
  5. Step 5: Solve for x
    x = 1,686,087,844/27,182
  6. Step 6: Final answer
    x = 62,029.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.