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Finding the Third Proportional to 36,949.08 and 81,279.28

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Solution

The third proportional to 36,949.08 and 81,279.28 is: 178,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,949.08 : 81,279.28 = 81,279.28 : x
  2. Step 2: Convert to fraction form
    36,949.08/81,279.28 = 81,279.28/x
  3. Step 3: Cross multiply
    36,949.08x = 81,279.28 × 81,279.28
  4. Step 4: Simplify right side
    36,949.08x = 6,606,321,560.52
  5. Step 5: Solve for x
    x = 6,606,321,560.52/36,949.08
  6. Step 6: Final answer
    x = 178,795.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.