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Finding the Third Proportional to 18,745.50 and 39,211

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Solution

The third proportional to 18,745.50 and 39,211 is: 82,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,745.50 : 39,211 = 39,211 : x
  2. Step 2: Convert to fraction form
    18,745.50/39,211 = 39,211/x
  3. Step 3: Cross multiply
    18,745.50x = 39,211 × 39,211
  4. Step 4: Simplify right side
    18,745.50x = 1,537,502,521
  5. Step 5: Solve for x
    x = 1,537,502,521/18,745.50
  6. Step 6: Final answer
    x = 82,019.82

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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.