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Finding the Third Proportional to 27,238 and 41,020

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Solution

The third proportional to 27,238 and 41,020 is: 61,775.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,238 : 41,020 = 41,020 : x
  2. Step 2: Convert to fraction form
    27,238/41,020 = 41,020/x
  3. Step 3: Cross multiply
    27,238x = 41,020 × 41,020
  4. Step 4: Simplify right side
    27,238x = 1,682,640,400
  5. Step 5: Solve for x
    x = 1,682,640,400/27,238
  6. Step 6: Final answer
    x = 61,775.48

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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.