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Finding the Third Proportional to 18,474.75 and 22,443.75

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Solution

The third proportional to 18,474.75 and 22,443.75 is: 27,265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,474.75 : 22,443.75 = 22,443.75 : x
  2. Step 2: Convert to fraction form
    18,474.75/22,443.75 = 22,443.75/x
  3. Step 3: Cross multiply
    18,474.75x = 22,443.75 × 22,443.75
  4. Step 4: Simplify right side
    18,474.75x = 503,721,914.06
  5. Step 5: Solve for x
    x = 503,721,914.06/18,474.75
  6. Step 6: Final answer
    x = 27,265.43

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.