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Finding the Third Proportional to 13,613 and 27,550

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Solution

The third proportional to 13,613 and 27,550 is: 55,755.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613 : 27,550 = 27,550 : x
  2. Step 2: Convert to fraction form
    13,613/27,550 = 27,550/x
  3. Step 3: Cross multiply
    13,613x = 27,550 × 27,550
  4. Step 4: Simplify right side
    13,613x = 759,002,500
  5. Step 5: Solve for x
    x = 759,002,500/13,613
  6. Step 6: Final answer
    x = 55,755.71

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.