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Finding the Third Proportional to 37,413.50 and 82,207

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Solution

The third proportional to 37,413.50 and 82,207 is: 180,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,413.50 : 82,207 = 82,207 : x
  2. Step 2: Convert to fraction form
    37,413.50/82,207 = 82,207/x
  3. Step 3: Cross multiply
    37,413.50x = 82,207 × 82,207
  4. Step 4: Simplify right side
    37,413.50x = 6,757,990,849
  5. Step 5: Solve for x
    x = 6,757,990,849/37,413.50
  6. Step 6: Final answer
    x = 180,629.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.