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Finding the Third Proportional to 9,279.56 and 20,396.81

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Solution

The third proportional to 9,279.56 and 20,396.81 is: 44,832.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,279.56 : 20,396.81 = 20,396.81 : x
  2. Step 2: Convert to fraction form
    9,279.56/20,396.81 = 20,396.81/x
  3. Step 3: Cross multiply
    9,279.56x = 20,396.81 × 20,396.81
  4. Step 4: Simplify right side
    9,279.56x = 416,029,960.16
  5. Step 5: Solve for x
    x = 416,029,960.16/9,279.56
  6. Step 6: Final answer
    x = 44,832.93

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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.