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Finding the Third Proportional to 27,492 and 41,494

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Solution

The third proportional to 27,492 and 41,494 is: 62,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,492 : 41,494 = 41,494 : x
  2. Step 2: Convert to fraction form
    27,492/41,494 = 41,494/x
  3. Step 3: Cross multiply
    27,492x = 41,494 × 41,494
  4. Step 4: Simplify right side
    27,492x = 1,721,752,036
  5. Step 5: Solve for x
    x = 1,721,752,036/27,492
  6. Step 6: Final answer
    x = 62,627.38

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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.