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Finding the Third Proportional to 9,226.13 and 20,183.63

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Solution

The third proportional to 9,226.13 and 20,183.63 is: 44,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.13 : 20,183.63 = 20,183.63 : x
  2. Step 2: Convert to fraction form
    9,226.13/20,183.63 = 20,183.63/x
  3. Step 3: Cross multiply
    9,226.13x = 20,183.63 × 20,183.63
  4. Step 4: Simplify right side
    9,226.13x = 407,378,718.14
  5. Step 5: Solve for x
    x = 407,378,718.14/9,226.13
  6. Step 6: Final answer
    x = 44,154.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.