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Finding the Third Proportional to 27,044 and 41,093

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Solution

The third proportional to 27,044 and 41,093 is: 62,440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,044 : 41,093 = 41,093 : x
  2. Step 2: Convert to fraction form
    27,044/41,093 = 41,093/x
  3. Step 3: Cross multiply
    27,044x = 41,093 × 41,093
  4. Step 4: Simplify right side
    27,044x = 1,688,634,649
  5. Step 5: Solve for x
    x = 1,688,634,649/27,044
  6. Step 6: Final answer
    x = 62,440.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.