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Finding the Third Proportional to 12,227.63 and 18,368.44

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Solution

The third proportional to 12,227.63 and 18,368.44 is: 27,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.63 : 18,368.44 = 18,368.44 : x
  2. Step 2: Convert to fraction form
    12,227.63/18,368.44 = 18,368.44/x
  3. Step 3: Cross multiply
    12,227.63x = 18,368.44 × 18,368.44
  4. Step 4: Simplify right side
    12,227.63x = 337,399,496.19
  5. Step 5: Solve for x
    x = 337,399,496.19/12,227.63
  6. Step 6: Final answer
    x = 27,593.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.