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Finding the Third Proportional to 27,234 and 41,013

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Solution

The third proportional to 27,234 and 41,013 is: 61,763.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,234 : 41,013 = 41,013 : x
  2. Step 2: Convert to fraction form
    27,234/41,013 = 41,013/x
  3. Step 3: Cross multiply
    27,234x = 41,013 × 41,013
  4. Step 4: Simplify right side
    27,234x = 1,682,066,169
  5. Step 5: Solve for x
    x = 1,682,066,169/27,234
  6. Step 6: Final answer
    x = 61,763.46

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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.