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Finding the Third Proportional to 18,977.25 and 27,333.75

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Solution

The third proportional to 18,977.25 and 27,333.75 is: 39,369.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,977.25 : 27,333.75 = 27,333.75 : x
  2. Step 2: Convert to fraction form
    18,977.25/27,333.75 = 27,333.75/x
  3. Step 3: Cross multiply
    18,977.25x = 27,333.75 × 27,333.75
  4. Step 4: Simplify right side
    18,977.25x = 747,133,889.06
  5. Step 5: Solve for x
    x = 747,133,889.06/18,977.25
  6. Step 6: Final answer
    x = 39,369.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.