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Finding the Third Proportional to 27,443 and 41,457

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Solution

The third proportional to 27,443 and 41,457 is: 62,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,443 : 41,457 = 41,457 : x
  2. Step 2: Convert to fraction form
    27,443/41,457 = 41,457/x
  3. Step 3: Cross multiply
    27,443x = 41,457 × 41,457
  4. Step 4: Simplify right side
    27,443x = 1,718,682,849
  5. Step 5: Solve for x
    x = 1,718,682,849/27,443
  6. Step 6: Final answer
    x = 62,627.37

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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.