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Finding the Third Proportional to 11,100.09 and 23,226.19

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Solution

The third proportional to 11,100.09 and 23,226.19 is: 48,599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,100.09 : 23,226.19 = 23,226.19 : x
  2. Step 2: Convert to fraction form
    11,100.09/23,226.19 = 23,226.19/x
  3. Step 3: Cross multiply
    11,100.09x = 23,226.19 × 23,226.19
  4. Step 4: Simplify right side
    11,100.09x = 539,455,785.79
  5. Step 5: Solve for x
    x = 539,455,785.79/11,100.09
  6. Step 6: Final answer
    x = 48,599.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.