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Finding the Third Proportional to 11,267.44 and 24,227.44

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Solution

The third proportional to 11,267.44 and 24,227.44 is: 52,094.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,267.44 : 24,227.44 = 24,227.44 : x
  2. Step 2: Convert to fraction form
    11,267.44/24,227.44 = 24,227.44/x
  3. Step 3: Cross multiply
    11,267.44x = 24,227.44 × 24,227.44
  4. Step 4: Simplify right side
    11,267.44x = 586,968,727.82
  5. Step 5: Solve for x
    x = 586,968,727.82/11,267.44
  6. Step 6: Final answer
    x = 52,094.25

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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.