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Finding the Third Proportional to 18,638.25 and 27,704.25

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Solution

The third proportional to 18,638.25 and 27,704.25 is: 41,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,638.25 : 27,704.25 = 27,704.25 : x
  2. Step 2: Convert to fraction form
    18,638.25/27,704.25 = 27,704.25/x
  3. Step 3: Cross multiply
    18,638.25x = 27,704.25 × 27,704.25
  4. Step 4: Simplify right side
    18,638.25x = 767,525,468.06
  5. Step 5: Solve for x
    x = 767,525,468.06/18,638.25
  6. Step 6: Final answer
    x = 41,180.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.