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Finding the Third Proportional to 9,226.41 and 19,796.91

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Solution

The third proportional to 9,226.41 and 19,796.91 is: 42,477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.41 : 19,796.91 = 19,796.91 : x
  2. Step 2: Convert to fraction form
    9,226.41/19,796.91 = 19,796.91/x
  3. Step 3: Cross multiply
    9,226.41x = 19,796.91 × 19,796.91
  4. Step 4: Simplify right side
    9,226.41x = 391,917,497.07
  5. Step 5: Solve for x
    x = 391,917,497.07/9,226.41
  6. Step 6: Final answer
    x = 42,477.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.