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Finding the Third Proportional to 27,183 and 38,279.25

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Solution

The third proportional to 27,183 and 38,279.25 is: 53,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,183 : 38,279.25 = 38,279.25 : x
  2. Step 2: Convert to fraction form
    27,183/38,279.25 = 38,279.25/x
  3. Step 3: Cross multiply
    27,183x = 38,279.25 × 38,279.25
  4. Step 4: Simplify right side
    27,183x = 1,465,300,980.56
  5. Step 5: Solve for x
    x = 1,465,300,980.56/27,183
  6. Step 6: Final answer
    x = 53,905.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.