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Finding the Third Proportional to 18,745.50 and 39,223.50

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Solution

The third proportional to 18,745.50 and 39,223.50 is: 82,072.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,745.50 : 39,223.50 = 39,223.50 : x
  2. Step 2: Convert to fraction form
    18,745.50/39,223.50 = 39,223.50/x
  3. Step 3: Cross multiply
    18,745.50x = 39,223.50 × 39,223.50
  4. Step 4: Simplify right side
    18,745.50x = 1,538,482,952.25
  5. Step 5: Solve for x
    x = 1,538,482,952.25/18,745.50
  6. Step 6: Final answer
    x = 82,072.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.