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Finding the Third Proportional to 18,243.56 and 27,497.81

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Solution

The third proportional to 18,243.56 and 27,497.81 is: 41,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,243.56 : 27,497.81 = 27,497.81 : x
  2. Step 2: Convert to fraction form
    18,243.56/27,497.81 = 27,497.81/x
  3. Step 3: Cross multiply
    18,243.56x = 27,497.81 × 27,497.81
  4. Step 4: Simplify right side
    18,243.56x = 756,129,692.29
  5. Step 5: Solve for x
    x = 756,129,692.29/18,243.56
  6. Step 6: Final answer
    x = 41,446.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.